diff --git a/0_0_Preamble/Preamble_Fonts_Charter_FiraSans.tex b/0_0_Preamble/Preamble_Fonts_Charter_FiraSans.tex index 7450c79..596a374 100644 --- a/0_0_Preamble/Preamble_Fonts_Charter_FiraSans.tex +++ b/0_0_Preamble/Preamble_Fonts_Charter_FiraSans.tex @@ -80,6 +80,26 @@ \let \savermbfseries \bfdefault % <== +% mathdesign provides upright Greek letters as \alphaup, \Betaup, etc. while other packages +% (e.g., unicode-math) call these \upalpha, \upBeta, etc. We make also the latter available. +% ==> +\makeatletter +\@for\@tempa:=% + alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% + omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% + Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% + Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% + \do{% + \expandafter\let\csname up\@tempa\expandafter\endcsname\csname\@tempa up\endcsname% + }% +\makeatother +% <== + +% Provide a \nequiv symbol +\ifx\nequiv\undefined + \newcommand{\nequiv}{\not\equiv} +\fi + % Use Bitstream Charter as the text font % ==> \usepackage[scaled=.96, lining, sups]{XCharter} % option ``sups'' not working properly with subimport diff --git a/0_0_Preamble/Preamble_Sansserif_math.tex b/0_0_Preamble/Preamble_Sansserif_math.tex index 3d697e5..a4b5fff 100644 --- a/0_0_Preamble/Preamble_Sansserif_math.tex +++ b/0_0_Preamble/Preamble_Sansserif_math.tex @@ -386,6 +386,7 @@ \do{% \expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa LGR\endcsname% \expandafter\let\csname\@tempa up\expandafter\endcsname\csname\@tempa upLGR\endcsname% + \expandafter\let\csname up\@tempa\expandafter\endcsname\csname\@tempa upLGR\endcsname% }% %\renewcommand{\pm}{\pmsf}% %\renewcommand{\times}{\timessf}% @@ -404,6 +405,7 @@ \do{% \expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa orig\endcsname% \expandafter\let\csname\@tempa up\expandafter\endcsname\csname\@tempa uporig\endcsname% + \expandafter\let\csname up\@tempa\expandafter\endcsname\csname\@tempa uporig\endcsname% }% %\renewcommand{\pm}{\oldpm}% %\renewcommand{\times}{\oldtimes}% @@ -422,6 +424,7 @@ % \do{% % \expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa LGR\endcsname% % \expandafter\let\csname\@tempa up\expandafter\endcsname\csname\@tempa upLGR\endcsname% +% \expandafter\let\csname up\@tempa\expandafter\endcsname\csname\@tempa upLGR\endcsname% % }% % %\renewcommand{\pm}{\pmsf}% % %\renewcommand{\times}{\timessf}% diff --git a/0_Introduction_Dissertation/Introduction.tex b/0_Introduction_Dissertation/Introduction.tex index a5f6989..559d0bc 100644 --- a/0_Introduction_Dissertation/Introduction.tex +++ b/0_Introduction_Dissertation/Introduction.tex @@ -16,7 +16,7 @@ Let us cite some publications: \cite{Andersen2008, Andreoni2012, Balakrishnan2016, Koszegi2013}. With the options set for BibLaTeX in the preamble, citations in the body text are automatically sorted chronologically---irrespective of the order of the ``citekeys'' in your input. Of course, entries are sorted alphabetically by author surname in the list of references. \begin{table}[t!!!] - \caption{Characters contained in the serif font: \savermdefaultfortext} + \caption{Characters Contained in the Serif Font: \savermdefaultfortext} \rmfamily \makeatletter \xfonttable{\f@encoding}{\f@family}{\f@series}{\f@shape} @@ -24,7 +24,7 @@ \end{table} \begin{table}[t!!!] - \caption{Characters contained in the sans-serif font: \savesffamily} + \caption{Characters Contained in the Sans-Serif Font: \savesffamily} \sffamily \makeatletter \xfonttable{\f@encoding}{\f@family}{\f@series}{\f@shape} diff --git a/1_Example_Content/4_Discussion/Font_Scores.tex b/1_Example_Content/4_Discussion/Font_Scores.tex index 650e17a..c3bfc84 100644 --- a/1_Example_Content/4_Discussion/Font_Scores.tex +++ b/1_Example_Content/4_Discussion/Font_Scores.tex @@ -4,7 +4,7 @@ \begin{table}[t] - \caption{Points awarded in our typeface competition---basic formatting} + \caption{Points Awarded in Our Typeface Competition---Basic Formatting} \label{tab:basic_formatting} \begin{tabular}{@{}lccccc@{}} \toprule @@ -25,7 +25,7 @@ \end{table} \begin{table}[b] - \caption{Points awarded in our typeface competition---more sophisticated formatting} + \caption{Points Awarded in Our Typeface Competition---More Sophisticated Formatting} \label{tab:advanced_formatting} \sisetup{table-column-width = 0.13\textwidth} % <{\qquad} @{\extracolsep{\fill}} diff --git a/1_Example_Content/Presentation.tex b/1_Example_Content/Presentation.tex index e55db3b..789d68c 100644 --- a/1_Example_Content/Presentation.tex +++ b/1_Example_Content/Presentation.tex @@ -140,7 +140,7 @@ \section{Introduction} The \texttt{block} environment. The \texttt{block} environment. The \texttt{block} environment. The \texttt{block} environment. The \texttt{block} environment. \insertblocktitle \end{block}% - \begin{exampleblock}{An~Exemplary Example} + \begin{exampleblock}{An~exemplary example} I~am the \texttt{exampleblock} environment. Use me for examples. I~am really exemplary. \end{exampleblock} @@ -157,7 +157,7 @@ \section{Introduction} The \texttt{definition} environment. Upright. \end{definition} - \begin{theorem}[Theorem's Name] + \begin{theorem}[Theorem's mame] The \texttt{theorem} environment. Italic. \end{theorem}% @@ -282,7 +282,7 @@ \section{Study Design} \def\rmd{\mathup{d}} Only variables are set in italics according to \caps{ISO} style---hence, we use upright ``$\rmd$,'' ``$\mathup{e}$,'' and ``$\mathup{\pi}$'' (\texttt{\textbackslash mathup\{d\}}, \texttt{\textbackslash mathup\{e\}}, and \texttt{\textbackslash mathup\{\textbackslash pi\}}, respectively). - \begin{theorem}[Simplest form of the \emph{Central Limit Theorem}] + \begin{theorem}[simplest form of the \emph{Central Limit Theorem}] \ifnum \serifbodyfont=0 \sffamily \fi @@ -412,7 +412,6 @@ \section{Results} \end{frame} - \section{Discussion} @@ -477,7 +476,7 @@ \section{Discussion} \end{frame} -\begin{frame}[allowframebreaks]{\titleprefix: Testing the \texttt{allowframebreaks} option} +\begin{frame}[allowframebreaks]{\titleprefix: Testing the \texttt{allowframebreaks} Option} \renewcommand{\blindmarkup}[1]{\emph{#1}} @@ -493,6 +492,16 @@ \section{Discussion} \end{frame} +\section{Math ``Torture'' Test} + + +\begin{frame}[allowframebreaks]{\insertsection} + +\input{2_Math_Tests/mathtest_TeXbook_beamer} + +\end{frame} + + %%%%%%%%%%%%%%%%%% diff --git a/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental.tex b/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental.tex deleted file mode 100644 index fce76eb..0000000 --- a/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental.tex +++ /dev/null @@ -1,334 +0,0 @@ -% !TeX TXS-program:compile = txs:///pdflatex/ -% !TeX TS-program = pdflatex -% !TeX TXS-program:bibliography = txs:///biber -% !BIB program = biber - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FONT SETTINGS AND TYPOGRAPHY %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\usepackage[LGR, T1]{fontenc} - -\usepackage[charter, uppercase=italicized, greeklowercase=italicized, greekuppercase=italicized, sfscaled=false, ttscaled=false]{mathdesign} % Use Bitstream Charter as the math font -\usepackage[scaled=.96, lining, sups]{XCharter} % Use Bitstream Charter as the text font -%\renewcommand{\rmdefault}{XCharter-TLF} -\newcommand{\mathup}[1]{\mathrm{#1}} - -%\DeclareSymbolFont{rmcustom}{T1}{\rmdefault}{\mddefault}{\updefault} - -% \DeclareMathSymbol {} {} {} {} -% Type Meaning Example -% 0 or \mathord Ordinary $\alpha$ -% 1 or \mathop Large operator $\sum$ -% 2 or \mathbin Binary operation $\times$ -% 3 or \mathrel Relation $\leq$ -% 4 or \mathopen Opening $\langle$ -% 5 or \mathclose Closing $\rangle$ -% 6 or \mathpunct Punctuation ; -% 7 or \mathalpha Alphabet character A -% Example declaration: -% \DeclareMathSymbol{b}{3}{letters}{`b} - -%\DeclareMathSymbol{(}{\mathopen}{rmcustom}{`(} -%\DeclareMathSymbol{)}{\mathclose}{rmcustom}{`)} -%\DeclareMathSymbol{[}{\mathopen}{rmcustom}{`[} -%\DeclareMathSymbol{]}{\mathclose}{rmcustom}{`]} -%\DeclareMathSymbol{/}{\mathop}{rmcustom}{`/} % Increase spacing around slash/solidus -%\DeclareMathDelimiter{\lbrace}{\mathopen}{rmcustom}{`\{}{largesymbols}{"08} -%\DeclareMathDelimiter{\rbrace}{\mathclose}{rmcustom}{`\}}{largesymbols}{"09} - -% Reduce/prevent stretching of spaces around operators in inline formulae ==> -% See http://tex.stackexchange.com/questions/83746/keeping-the-distance-between-mathematical-symbols-consistent -% \thinmuskip=3.0mu (already without glue) -\medmuskip=1\medmuskip % Formerly 4.0mu plus 2.0mu minus 4.0mu -> 4.0mu -\thickmuskip=1\thickmuskip % Formerly 5.0mu plus 5.0mu -> 5.0mu -% <== -\spaceskip=\fontdimen2\font plus \fontdimen3\font minus 0.75\fontdimen4\font % Reduce by how much an interword space can shrink -% See http://tex.stackexchange.com/questions/19236/how-to-change-the-interword-spacing and http://tex.stackexchange.com/questions/88991/what-do-different-fontdimennum-mean - -% Increase spacing around relational symbols (<, =, >, \le, \ge, \equiv; +, -, \times, etc.) in display formulae ==> -\newcommand{\thickmu}{\thickmuskip=12mu \medmuskip=6mu} -\AtBeginEnvironment{equation}{\thickmu} -\AtBeginEnvironment{equation*}{\thickmu} -\AtBeginEnvironment{align}{\thickmu} -\AtBeginEnvironment{align*}{\thickmu} -\AtBeginEnvironment{eqnarray}{\thickmu} -\AtBeginEnvironment{eqnarray*}{\thickmu} -% <== - -\usepackage[book, semibold, lining, tabular, scale=0.91]{FiraSans}[2018/05/23] -\makeatletter -\@ifpackagelater{FiraSans}{2018/05/23} - {} - {\PackageError{FiraSans} - {Outdated 'FiraSans' package} - {Upgrade to FiraSans 2018/05/23 or newer!\MessageBreak - Otherwise the sans-serif font may not work properly, or the compilation might fail.\MessageBreak - This is a fatal error. I'm aborting now.}% - \endinput} -\makeatother -%% ``Medium'' as the bold series: -%\makeatletter -%\def\bfseries@sf{mb} -%\makeatother -%% In case you wish to use the ``light'' options of FiraSans: --> -%\usepackage{afterpackage} -%\AfterPackage{siunitx}{% -% \providecommand*{\lseries}{\fontseries{l}\selectfont} -%} -%% <-- -%% See https://tex.stackexchange.com/questions/164791/combination-of-siunitx-and-light-weight-font-fails-to-compile. -\usepackage[lining, scale=0.91]{FiraMono} - - -% The microtype package enables so-called hanging punctuation. That is, when a punctuation sign like ":", ".", "-", etc. is found at the beginning or end of a line, it is protruded a little into the page margin. This results in "optical margin alignment," because the protrusion makes the margin alignment look straighter. -\ifxetex - \usepackage[protrusion=true, expansion=false]{microtype} - % Apart from this, do nothing, since \DisableLigatures[f]{family = {rm*}} and \SetExtraKerning are not available in Xe(La)TeX. -\else - \usepackage[protrusion=true, expansion=false, kerning=true]{microtype} - \DisableLigatures[f]{family = {rm*}} - % Disable the f* ligatures for Charter because the font does not provide sufficient support. - \SetExtraKerning[unit=space] - {encoding=*, family=*, series=*, size={*, normalsize, footnotesize}, font = */*/*/*/*} - {\textemdash = {325, 325}, - / = {100, 100}, - : = { 50, 0}, - ; = { 50, 0}} -\fi - -\frenchspacing % Prevent increased whitespace after periods -\sloppy - -\usepackage{xfrac} % Provides \sfrac - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% SANS-SERIF MATH IN SANS-SERIF ENVIRONMENT %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\makeatletter -\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -\renewcommand{\seriesdefault}{\mdseries@sf} -\makeatother -\renewcommand{\familydefault}{\sfdefault} -\usepackage[LGRgreek, subdued, italic, itGreek]{mathastext} -\Mathastext[sans] -\makeatletter -\MTDeclareVersion[it]{mathbfit}{T1}{mdbch}{b}{it} -\renewcommand{\seriesdefault}{\bfseries@sf} -\makeatother -\Mathastext[sansbold] -\makeatletter -\renewcommand{\seriesdefault}{\mdseries@sf} -\makeatother -\Mathastextupgreek -\MathastextupGreek -%\renewcommand{\Mathastextshape}{\upshape} -\makeatletter -\MTDeclareVersion[n]{sansup}{T1}{\familydefault}{\mdseries@sf}{n} -\MTDeclareVersion[n]{sansupbold}{T1}{\familydefault}{\bfseries@sf}{n} -\makeatother -\renewcommand{\familydefault}{\rmdefault} -\makeatletter -\renewcommand{\seriesdefault}{\mdseries@rm} -\makeatother -%% Greek letters in the sans-serif font in normal, italic, bold, and bold italic --> -%%\DeclareSymbolFont{sansgreeklettersup} {LGR}{\sfdefault}{\mdseries@sf}{n} -%\DeclareSymbolFont{sansgreeklettersit} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%\DeclareSymbolFont{sansgreeklettersbfup} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%\DeclareSymbolFont{sansgreeklettersbfit} {LGR}{\sfdefault}{\mdseries@sf}{it} -%% <-- -%\SetSymbolFont{sansgreeklettersit} {sans} {LGR}{\sfdefault}{\mdseries@sf}{it} -%\SetSymbolFont{sansgreeklettersit} {sansbold}{LGR}{\sfdefault}{\bfseries@sf}{it} -%% The symbol fonts need to be set for BOTH sans math versions so that one can use \mathnormal, \mathit, \mathbf, etc. in BOTH the sans and sansbold math versions. --> -%%\SetSymbolFont{sansgreeklettersup} {sans} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersit} {sans} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersbfup}{sans} {LGR}{\sfdefault}{\bfseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersbfit}{sans} {LGR}{\sfdefault}{\bfseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersup} {sansbold}{LGR}{\sfdefault}{\mdseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersit} {sansbold}{LGR}{\sfdefault}{\mdseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersbfup}{sansbold}{LGR}{\sfdefault}{\bfseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersbfit}{sansbold}{LGR}{\sfdefault}{\bfseries@sf}{it} -%% <-- -%%% To use a specific font, e.g., DejaVu Sans --> -%%\DeclareSymbolFont{sansgreeklettersit}{LGR}{DejaVuSans-TLF}{m}{it}% for greek letters -%%\SetSymbolFont{sansgreeklettersit}{sans}{LGR}{DejaVuSans-TLF}{m}{it}% for greek letters -%%\SetSymbolFont{sansgreeklettersit}{sansbold}{LGR}{DejaVuSans-TLF}{b}{it}% for greek letters -%%% <-- -%%\SetMathAlphabet{\mathit}{sans}{T1}{\sfdefault}{\mdseries@sf}{it} -%%\SetMathAlphabet{\mathit}{sansbold}{T1}{\sfdefault}{\bfseries@sf}{it} -%\makeatother -%% Take symbols from MathDesign Charter in sans mathversion --> -%\SetSymbolFont{symbols} {sans}{OMS}{mdbch}{m}{n}% -%\SetSymbolFont{largesymbols}{sans}{OMX}{mdbch}{m}{n}% -%\SetSymbolFont{symbols} {sansbold}{OMS}{mdbch}{b}{n}% -%\SetSymbolFont{largesymbols}{sansbold}{OMX}{mdbch}{b}{n}% -%% <-- -% -%% The following is taken from -%% https://tex.stackexchange.com/questions/116389/automatic-upright-math-when-text-is-in-italic/116399#116399 -% -%% Filling in ``missing'' Greek glyphs for completeness -%% (not really necessary, since they look identical to Latin glyphs and are thus almost never used) -%\newcommand{\omicron}{o} -%\newcommand{\Digamma}{F} -%\newcommand{\Alpha} {A} -%\newcommand{\Beta} {B} -%\newcommand{\Epsilon}{E} -%\newcommand{\Zeta} {Z} -%\newcommand{\Eta} {H} -%\newcommand{\Iota} {I} -%\newcommand{\Kappa} {K} -%\newcommand{\Mu} {M} -%\newcommand{\Nu} {N} -%\newcommand{\Omicron}{O} -%\newcommand{\Rho} {P} -%\newcommand{\Tau} {T} -%\newcommand{\Chi} {X} -%% Save original definitions of the Greek letters --> -%\makeatletter -%\@for\@tempa:=% -%alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -%omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -%Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -%Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -%\do{\expandafter\let\csname\@tempa orig\expandafter\endcsname\csname\@tempa\endcsname}% -%\makeatother -%% <-- -% -%%% 'uppercase' -%\DeclareMathSymbol{\AlphaLGR} {\mathalpha}{sansgreeklettersit}{`A} -%\DeclareMathSymbol{\BetaLGR} {\mathalpha}{sansgreeklettersit}{`B} -%\DeclareMathSymbol{\GammaLGR} {\mathalpha}{sansgreeklettersit}{`G} -%\DeclareMathSymbol{\DeltaLGR} {\mathalpha}{sansgreeklettersit}{`D} -%\DeclareMathSymbol{\EpsilonLGR} {\mathalpha}{sansgreeklettersit}{`E} -%\DeclareMathSymbol{\ZetaLGR} {\mathalpha}{sansgreeklettersit}{`Z} -%\DeclareMathSymbol{\EtaLGR} {\mathalpha}{sansgreeklettersit}{`H} -%\DeclareMathSymbol{\ThetaLGR} {\mathalpha}{sansgreeklettersit}{`J} -%\DeclareMathSymbol{\IotaLGR} {\mathalpha}{sansgreeklettersit}{`I} -%\DeclareMathSymbol{\KappaLGR} {\mathalpha}{sansgreeklettersit}{`K} -%\DeclareMathSymbol{\LambdaLGR} {\mathalpha}{sansgreeklettersit}{`L} -%\DeclareMathSymbol{\MuLGR} {\mathalpha}{sansgreeklettersit}{`M} -%\DeclareMathSymbol{\NuLGR} {\mathalpha}{sansgreeklettersit}{`N} -%\DeclareMathSymbol{\XiLGR} {\mathalpha}{sansgreeklettersit}{`X} -%\DeclareMathSymbol{\OmicronLGR} {\mathalpha}{sansgreeklettersit}{`O} -%\DeclareMathSymbol{\PiLGR} {\mathalpha}{sansgreeklettersit}{`P} -%\DeclareMathSymbol{\RhoLGR} {\mathalpha}{sansgreeklettersit}{`R} -%\DeclareMathSymbol{\SigmaLGR} {\mathalpha}{sansgreeklettersit}{`S} -%\DeclareMathSymbol{\TauLGR} {\mathalpha}{sansgreeklettersit}{`T} -%\DeclareMathSymbol{\UpsilonLGR} {\mathalpha}{sansgreeklettersit}{`U} -%\DeclareMathSymbol{\PhiLGR} {\mathalpha}{sansgreeklettersit}{`F} -%\DeclareMathSymbol{\ChiLGR} {\mathalpha}{sansgreeklettersit}{`Q} -%\DeclareMathSymbol{\PsiLGR} {\mathalpha}{sansgreeklettersit}{`Y} -%\DeclareMathSymbol{\OmegaLGR} {\mathalpha}{sansgreeklettersit}{`W} -%\DeclareMathSymbol{\DigammaLGR} {\mathalpha}{sansgreeklettersit}{195} -%%% 'lowercase' -%\DeclareMathSymbol{\alphaLGR} {\mathalpha}{sansgreeklettersit}{`a} -%\DeclareMathSymbol{\betaLGR} {\mathalpha}{sansgreeklettersit}{`b} -%\DeclareMathSymbol{\gammaLGR} {\mathalpha}{sansgreeklettersit}{`g} -%\DeclareMathSymbol{\deltaLGR} {\mathalpha}{sansgreeklettersit}{`d} -%\DeclareMathSymbol{\epsilonLGR} {\mathalpha}{sansgreeklettersit}{`e} -%\DeclareMathSymbol{\zetaLGR} {\mathalpha}{sansgreeklettersit}{`z} -%\DeclareMathSymbol{\etaLGR} {\mathalpha}{sansgreeklettersit}{`h} -%\DeclareMathSymbol{\thetaLGR} {\mathalpha}{sansgreeklettersit}{`j} -%\DeclareMathSymbol{\iotaLGR} {\mathalpha}{sansgreeklettersit}{`i} -%\DeclareMathSymbol{\kappaLGR} {\mathalpha}{sansgreeklettersit}{`k} -%\DeclareMathSymbol{\lambdaLGR} {\mathalpha}{sansgreeklettersit}{`l} -%\DeclareMathSymbol{\muLGR} {\mathalpha}{sansgreeklettersit}{`m} -%\DeclareMathSymbol{\nuLGR} {\mathalpha}{sansgreeklettersit}{`n} -%\DeclareMathSymbol{\xiLGR} {\mathalpha}{sansgreeklettersit}{`x} -%\DeclareMathSymbol{\omicronLGR} {\mathalpha}{sansgreeklettersit}{`o} -%\DeclareMathSymbol{\piLGR} {\mathalpha}{sansgreeklettersit}{`p} -%\DeclareMathSymbol{\rhoLGR} {\mathalpha}{sansgreeklettersit}{`r} -%\DeclareMathSymbol{\sigmaLGR} {\mathalpha}{sansgreeklettersit}{`s} -%\DeclareMathSymbol{\varsigmaLGR}{\mathalpha}{sansgreeklettersit}{`c} -%\DeclareMathSymbol{\tauLGR} {\mathalpha}{sansgreeklettersit}{`t} -%\DeclareMathSymbol{\upsilonLGR} {\mathalpha}{sansgreeklettersit}{`u} -%\DeclareMathSymbol{\phiLGR} {\mathalpha}{sansgreeklettersit}{`f} -%\DeclareMathSymbol{\chiLGR} {\mathalpha}{sansgreeklettersit}{`q} -%\DeclareMathSymbol{\psiLGR} {\mathalpha}{sansgreeklettersit}{`y} -%\DeclareMathSymbol{\omegaLGR} {\mathalpha}{sansgreeklettersit}{`w} -%\DeclareMathSymbol{\digammaLGR} {\mathalpha}{sansgreeklettersit}{147} -% -%% Based on description of the TS1 encoding in -%% http://ctan.math.illinois.edu/macros/latex/doc/encguide.pdf: -%\let \oldpm \pm -%\let \oldtimes \times -%\let \olddiv \div -%\makeatletter -%\newcommand{\pmsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"B1}}} -%\newcommand{\timessf}{\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"D6}}} -%\newcommand{\divsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"F6}}} -%\newcommand*{\sansmath}{% -% \@for\@tempa:=% -% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa LGR\endcsname}% -% \renewcommand{\pm}{\pmsf}% -% \renewcommand{\times}{\timessf}% -% \renewcommand{\div}{\divsf}% -%} -%\newcommand*{\unsansmath}{% -% \@for\@tempa:=% -% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa orig\endcsname}% -% \renewcommand{\pm}{\oldpm}% -% \renewcommand{\times}{\oldtimes}% -% \renewcommand{\div}{\olddiv}% -%} -%\newcommand*{\checkgreekletters}{% -% \@for\@tempa:=% -% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -% \do{$\csname\@tempa\endcsname,$ }% -%} -%\makeatother - -\newcommand{\mathrmaux}[1]{\mathrm{#1}} -\newcommand{\mathbfit}[1]{\text{\mathastextversion{mathbfit}$#1$\mathastextversion{normal}}} -\newcommand{\renewmathcommands}{% - \renewcommand{\mathnormal}[1]{\textmd{$##1$}}% - \renewcommand{\mathrm} [1]{\text{\mathastextversion{normal}$\mathrmaux{##1}$\mathastextversion{sans}}}% - \renewcommand{\mathup} [1]{\text{\IfInBoldMode\mathastextversion{sansupbold}$##1$\mathastextversion{sansbold}\else\mathastextversion{sansup}$##1$\mathastextversion{sans}\fi\relax}}% - \renewcommand{\mathit} [1]{##1}% - \renewcommand{\mathbf} [1]{\textbf{$##1$}}% -} -% -%\newif\IfInSansMode -%\appto{\sffamily}{\InSansModetrue\mathastextversion{sans}\renewmathcommands\sansmath} -%\appto{\mdseries}{\IfInSansMode\mathastextversion{sans}\fi\relax} -%\appto{\bfseries}{\IfInSansMode\mathastextversion{sansbold}\else\mathversion{bold}\fi\relax} -%\appto{\normalfont}{\unsansmath\mathversion{normal}\InSansModefalse} -%\appto{\rmfamily}{\unsansmath\mathversion{normal}\InSansModefalse} - -\makeatletter -\newcommand*{\checkgreekletters}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Gamma,Delta,Epsilon,Theta,Lambda,Xi,% - Pi,Sigma,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{$\csname\@tempa\endcsname,$ }% -} -\makeatother - -\newif\IfInSansMode -\newif\IfInBoldMode -\appto{\sffamily}{\InSansModetrue\mathastextversion{sans}\renewmathcommands} -\appto{\mdseries}{\InBoldModefalse\IfInSansMode\mathastextversion{sans}\fi\relax} -\appto{\bfseries}{\InBoldModetrue\IfInSansMode\mathastextversion{sansbold}\renewmathcommands\else\mathversion{bold}\fi\relax} -\appto{\normalfont}{\mathversion{normal}\InSansModefalse} -\appto{\rmfamily}{\mathversion{normal}\InSansModefalse} diff --git a/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental_bm.tex b/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental_bm.tex deleted file mode 100644 index 5d77ea3..0000000 --- a/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental_bm.tex +++ /dev/null @@ -1,355 +0,0 @@ -% !TeX TXS-program:compile = txs:///pdflatex/ -% !TeX TS-program = pdflatex -% !TeX TXS-program:bibliography = txs:///biber -% !BIB program = biber - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FONT SETTINGS AND TYPOGRAPHY %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\usepackage[LGR, T1]{fontenc} - -\usepackage[charter, uppercase=italicized, greeklowercase=italicized, greekuppercase=italicized, sfscaled=false, ttscaled=false]{mathdesign} % Use Bitstream Charter as the math font -\usepackage[scaled=.96, lining, sups]{XCharter} % Use Bitstream Charter as the text font -%\renewcommand{\rmdefault}{XCharter-TLF} - -\def\hyphenateWholeString #1{\xHyphenate#1$\wholeString} - -\def\xHyphenate#1#2\wholeString {\if#1$% -\else\say{#1}% -\takeTheRest#2\ofTheString -\fi} - -\def\takeTheRest#1\ofTheString\fi -{\fi \xHyphenate#1\wholeString} - -\def\say#1{\textit{$#1$\hspace{-0.075em}}} - -\let \mathitorig \mathit -\renewcommand{\mathit}[1]{\hyphenateWholeString{#1}} - -\newcommand{\bmmax}{1} -\newcommand{\hmmax}{0} -\usepackage{bm} - -\newcommand{\mathup}[1]{\mathrm{#1}} -\renewcommand{\mathbf}[1]{\bm{\mathrm{#1}}} -\newcommand{\mathbfit}[1]{\bm{\mathit{#1}}} - - -%\DeclareSymbolFont{rmcustom}{T1}{\rmdefault}{\mddefault}{\updefault} - -% \DeclareMathSymbol {} {} {} {} -% Type Meaning Example -% 0 or \mathord Ordinary $\alpha$ -% 1 or \mathop Large operator $\sum$ -% 2 or \mathbin Binary operation $\times$ -% 3 or \mathrel Relation $\leq$ -% 4 or \mathopen Opening $\langle$ -% 5 or \mathclose Closing $\rangle$ -% 6 or \mathpunct Punctuation ; -% 7 or \mathalpha Alphabet character A -% Example declaration: -% \DeclareMathSymbol{b}{3}{letters}{`b} - -%\DeclareMathSymbol{(}{\mathopen}{rmcustom}{`(} -%\DeclareMathSymbol{)}{\mathclose}{rmcustom}{`)} -%\DeclareMathSymbol{[}{\mathopen}{rmcustom}{`[} -%\DeclareMathSymbol{]}{\mathclose}{rmcustom}{`]} -%\DeclareMathSymbol{/}{\mathop}{rmcustom}{`/} % Increase spacing around slash/solidus -%\DeclareMathDelimiter{\lbrace}{\mathopen}{rmcustom}{`\{}{largesymbols}{"08} -%\DeclareMathDelimiter{\rbrace}{\mathclose}{rmcustom}{`\}}{largesymbols}{"09} - -% Reduce/prevent stretching of spaces around operators in inline formulae ==> -% See http://tex.stackexchange.com/questions/83746/keeping-the-distance-between-mathematical-symbols-consistent -% \thinmuskip=3.0mu (already without glue) -\medmuskip=1\medmuskip % Formerly 4.0mu plus 2.0mu minus 4.0mu -> 4.0mu -\thickmuskip=1\thickmuskip % Formerly 5.0mu plus 5.0mu -> 5.0mu -% <== -\spaceskip=\fontdimen2\font plus \fontdimen3\font minus 0.75\fontdimen4\font % Reduce by how much an interword space can shrink -% See http://tex.stackexchange.com/questions/19236/how-to-change-the-interword-spacing and http://tex.stackexchange.com/questions/88991/what-do-different-fontdimennum-mean - -% Increase spacing around relational symbols (<, =, >, \le, \ge, \equiv; +, -, \times, etc.) in display formulae ==> -\newcommand{\thickmu}{\thickmuskip=12mu \medmuskip=6mu} -\AtBeginEnvironment{equation}{\thickmu} -\AtBeginEnvironment{equation*}{\thickmu} -\AtBeginEnvironment{align}{\thickmu} -\AtBeginEnvironment{align*}{\thickmu} -\AtBeginEnvironment{eqnarray}{\thickmu} -\AtBeginEnvironment{eqnarray*}{\thickmu} -% <== - -\usepackage[book, semibold, lining, tabular, scale=0.91]{FiraSans}[2018/05/23] -\makeatletter -\@ifpackagelater{FiraSans}{2018/05/23} - {} - {\PackageError{FiraSans} - {Outdated 'FiraSans' package} - {Upgrade to FiraSans 2018/05/23 or newer!\MessageBreak - Otherwise the sans-serif font may not work properly, or the compilation might fail.\MessageBreak - This is a fatal error. I'm aborting now.}% - \endinput} -\makeatother -%% ``Medium'' as the bold series: -%\makeatletter -%\def\bfseries@sf{mb} -%\makeatother -%% In case you wish to use the ``light'' options of FiraSans: --> -%\usepackage{afterpackage} -%\AfterPackage{siunitx}{% -% \providecommand*{\lseries}{\fontseries{l}\selectfont} -%} -%% <-- -%% See https://tex.stackexchange.com/questions/164791/combination-of-siunitx-and-light-weight-font-fails-to-compile. -\usepackage[lining, scale=0.91]{FiraMono} - - -% The microtype package enables so-called hanging punctuation. That is, when a punctuation sign like ":", ".", "-", etc. is found at the beginning or end of a line, it is protruded a little into the page margin. This results in "optical margin alignment," because the protrusion makes the margin alignment look straighter. -\ifxetex - \usepackage[protrusion=true, expansion=false]{microtype} - % Apart from this, do nothing, since \DisableLigatures[f]{family = {rm*}} and \SetExtraKerning are not available in Xe(La)TeX. -\else - \usepackage[protrusion=true, expansion=false, kerning=true]{microtype} - \DisableLigatures[f]{family = {rm*}} - % Disable the f* ligatures for Charter because the font does not provide sufficient support. - \SetExtraKerning[unit=space] - {encoding=*, family=*, series=*, size={*, normalsize, footnotesize}, font = */*/*/*/*} - {\textemdash = {325, 325}, - / = {100, 100}, - : = { 50, 0}, - ; = { 50, 0}} -\fi - -\frenchspacing % Prevent increased whitespace after periods -\sloppy - -\usepackage{xfrac} % Provides \sfrac - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% SANS-SERIF MATH IN SANS-SERIF ENVIRONMENT %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\makeatletter -\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -\renewcommand{\seriesdefault}{\mdseries@sf} -\makeatother -\renewcommand{\familydefault}{\sfdefault} -\usepackage[LGRgreek, subdued, italic, itGreek]{mathastext} -\makeatletter -\@for\@tempa:=a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z% - A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z% - \do{\MTsetmathskips{\@tempa}{2mu}{2mu}}% -\makeatother -\Mathastext[sans] -\makeatletter -\MTDeclareVersion[it]{mathbfit}{T1}{mdbch}{b}{it} -\renewcommand{\seriesdefault}{\bfseries@sf} -\makeatother -\Mathastext[sansbold] -\makeatletter -\renewcommand{\seriesdefault}{\mdseries@sf} -\makeatother -\Mathastextupgreek -\MathastextupGreek -%\renewcommand{\Mathastextshape}{\upshape} -\makeatletter -\MTDeclareVersion[n]{sansup}{T1}{\familydefault}{\mdseries@sf}{n} -\MTDeclareVersion[n]{sansupbold}{T1}{\familydefault}{\bfseries@sf}{n} -\makeatother -\renewcommand{\familydefault}{\rmdefault} -\makeatletter -\renewcommand{\seriesdefault}{\mdseries@rm} -\makeatother -%% Greek letters in the sans-serif font in normal, italic, bold, and bold italic --> -%%\DeclareSymbolFont{sansgreeklettersup} {LGR}{\sfdefault}{\mdseries@sf}{n} -%\DeclareSymbolFont{sansgreeklettersit} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%\DeclareSymbolFont{sansgreeklettersbfup} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%\DeclareSymbolFont{sansgreeklettersbfit} {LGR}{\sfdefault}{\mdseries@sf}{it} -%% <-- -%\SetSymbolFont{sansgreeklettersit} {sans} {LGR}{\sfdefault}{\mdseries@sf}{it} -%\SetSymbolFont{sansgreeklettersit} {sansbold}{LGR}{\sfdefault}{\bfseries@sf}{it} -%% The symbol fonts need to be set for BOTH sans math versions so that one can use \mathnormal, \mathit, \mathbf, etc. in BOTH the sans and sansbold math versions. --> -%%\SetSymbolFont{sansgreeklettersup} {sans} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersit} {sans} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersbfup}{sans} {LGR}{\sfdefault}{\bfseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersbfit}{sans} {LGR}{\sfdefault}{\bfseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersup} {sansbold}{LGR}{\sfdefault}{\mdseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersit} {sansbold}{LGR}{\sfdefault}{\mdseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersbfup}{sansbold}{LGR}{\sfdefault}{\bfseries@sf}{n} -%%\SetSymbolFont{sansgreeklettersbfit}{sansbold}{LGR}{\sfdefault}{\bfseries@sf}{it} -%% <-- -%%% To use a specific font, e.g., DejaVu Sans --> -%%\DeclareSymbolFont{sansgreeklettersit}{LGR}{DejaVuSans-TLF}{m}{it}% for greek letters -%%\SetSymbolFont{sansgreeklettersit}{sans}{LGR}{DejaVuSans-TLF}{m}{it}% for greek letters -%%\SetSymbolFont{sansgreeklettersit}{sansbold}{LGR}{DejaVuSans-TLF}{b}{it}% for greek letters -%%% <-- -%%\SetMathAlphabet{\mathit}{sans}{T1}{\sfdefault}{\mdseries@sf}{it} -%%\SetMathAlphabet{\mathit}{sansbold}{T1}{\sfdefault}{\bfseries@sf}{it} -%\makeatother -%% Take symbols from MathDesign Charter in sans mathversion --> -%\SetSymbolFont{symbols} {sans}{OMS}{mdbch}{m}{n}% -%\SetSymbolFont{largesymbols}{sans}{OMX}{mdbch}{m}{n}% -%\SetSymbolFont{symbols} {sansbold}{OMS}{mdbch}{b}{n}% -%\SetSymbolFont{largesymbols}{sansbold}{OMX}{mdbch}{b}{n}% -%% <-- -% -%% The following is taken from -%% https://tex.stackexchange.com/questions/116389/automatic-upright-math-when-text-is-in-italic/116399#116399 -% -%% Filling in ``missing'' Greek glyphs for completeness -%% (not really necessary, since they look identical to Latin glyphs and are thus almost never used) -%\newcommand{\omicron}{o} -%\newcommand{\Digamma}{F} -%\newcommand{\Alpha} {A} -%\newcommand{\Beta} {B} -%\newcommand{\Epsilon}{E} -%\newcommand{\Zeta} {Z} -%\newcommand{\Eta} {H} -%\newcommand{\Iota} {I} -%\newcommand{\Kappa} {K} -%\newcommand{\Mu} {M} -%\newcommand{\Nu} {N} -%\newcommand{\Omicron}{O} -%\newcommand{\Rho} {P} -%\newcommand{\Tau} {T} -%\newcommand{\Chi} {X} -%% Save original definitions of the Greek letters --> -%\makeatletter -%\@for\@tempa:=% -%alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -%omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -%Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -%Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -%\do{\expandafter\let\csname\@tempa orig\expandafter\endcsname\csname\@tempa\endcsname}% -%\makeatother -%% <-- -% -%%% 'uppercase' -%\DeclareMathSymbol{\AlphaLGR} {\mathalpha}{sansgreeklettersit}{`A} -%\DeclareMathSymbol{\BetaLGR} {\mathalpha}{sansgreeklettersit}{`B} -%\DeclareMathSymbol{\GammaLGR} {\mathalpha}{sansgreeklettersit}{`G} -%\DeclareMathSymbol{\DeltaLGR} {\mathalpha}{sansgreeklettersit}{`D} -%\DeclareMathSymbol{\EpsilonLGR} {\mathalpha}{sansgreeklettersit}{`E} -%\DeclareMathSymbol{\ZetaLGR} {\mathalpha}{sansgreeklettersit}{`Z} -%\DeclareMathSymbol{\EtaLGR} {\mathalpha}{sansgreeklettersit}{`H} -%\DeclareMathSymbol{\ThetaLGR} {\mathalpha}{sansgreeklettersit}{`J} -%\DeclareMathSymbol{\IotaLGR} {\mathalpha}{sansgreeklettersit}{`I} -%\DeclareMathSymbol{\KappaLGR} {\mathalpha}{sansgreeklettersit}{`K} -%\DeclareMathSymbol{\LambdaLGR} {\mathalpha}{sansgreeklettersit}{`L} -%\DeclareMathSymbol{\MuLGR} {\mathalpha}{sansgreeklettersit}{`M} -%\DeclareMathSymbol{\NuLGR} {\mathalpha}{sansgreeklettersit}{`N} -%\DeclareMathSymbol{\XiLGR} {\mathalpha}{sansgreeklettersit}{`X} -%\DeclareMathSymbol{\OmicronLGR} {\mathalpha}{sansgreeklettersit}{`O} -%\DeclareMathSymbol{\PiLGR} {\mathalpha}{sansgreeklettersit}{`P} -%\DeclareMathSymbol{\RhoLGR} {\mathalpha}{sansgreeklettersit}{`R} -%\DeclareMathSymbol{\SigmaLGR} {\mathalpha}{sansgreeklettersit}{`S} -%\DeclareMathSymbol{\TauLGR} {\mathalpha}{sansgreeklettersit}{`T} -%\DeclareMathSymbol{\UpsilonLGR} {\mathalpha}{sansgreeklettersit}{`U} -%\DeclareMathSymbol{\PhiLGR} {\mathalpha}{sansgreeklettersit}{`F} -%\DeclareMathSymbol{\ChiLGR} {\mathalpha}{sansgreeklettersit}{`Q} -%\DeclareMathSymbol{\PsiLGR} {\mathalpha}{sansgreeklettersit}{`Y} -%\DeclareMathSymbol{\OmegaLGR} {\mathalpha}{sansgreeklettersit}{`W} -%\DeclareMathSymbol{\DigammaLGR} {\mathalpha}{sansgreeklettersit}{195} -%%% 'lowercase' -%\DeclareMathSymbol{\alphaLGR} {\mathalpha}{sansgreeklettersit}{`a} -%\DeclareMathSymbol{\betaLGR} {\mathalpha}{sansgreeklettersit}{`b} -%\DeclareMathSymbol{\gammaLGR} {\mathalpha}{sansgreeklettersit}{`g} -%\DeclareMathSymbol{\deltaLGR} {\mathalpha}{sansgreeklettersit}{`d} -%\DeclareMathSymbol{\epsilonLGR} {\mathalpha}{sansgreeklettersit}{`e} -%\DeclareMathSymbol{\zetaLGR} {\mathalpha}{sansgreeklettersit}{`z} -%\DeclareMathSymbol{\etaLGR} {\mathalpha}{sansgreeklettersit}{`h} -%\DeclareMathSymbol{\thetaLGR} {\mathalpha}{sansgreeklettersit}{`j} -%\DeclareMathSymbol{\iotaLGR} {\mathalpha}{sansgreeklettersit}{`i} -%\DeclareMathSymbol{\kappaLGR} {\mathalpha}{sansgreeklettersit}{`k} -%\DeclareMathSymbol{\lambdaLGR} {\mathalpha}{sansgreeklettersit}{`l} -%\DeclareMathSymbol{\muLGR} {\mathalpha}{sansgreeklettersit}{`m} -%\DeclareMathSymbol{\nuLGR} {\mathalpha}{sansgreeklettersit}{`n} -%\DeclareMathSymbol{\xiLGR} {\mathalpha}{sansgreeklettersit}{`x} -%\DeclareMathSymbol{\omicronLGR} {\mathalpha}{sansgreeklettersit}{`o} -%\DeclareMathSymbol{\piLGR} {\mathalpha}{sansgreeklettersit}{`p} -%\DeclareMathSymbol{\rhoLGR} {\mathalpha}{sansgreeklettersit}{`r} -%\DeclareMathSymbol{\sigmaLGR} {\mathalpha}{sansgreeklettersit}{`s} -%\DeclareMathSymbol{\varsigmaLGR}{\mathalpha}{sansgreeklettersit}{`c} -%\DeclareMathSymbol{\tauLGR} {\mathalpha}{sansgreeklettersit}{`t} -%\DeclareMathSymbol{\upsilonLGR} {\mathalpha}{sansgreeklettersit}{`u} -%\DeclareMathSymbol{\phiLGR} {\mathalpha}{sansgreeklettersit}{`f} -%\DeclareMathSymbol{\chiLGR} {\mathalpha}{sansgreeklettersit}{`q} -%\DeclareMathSymbol{\psiLGR} {\mathalpha}{sansgreeklettersit}{`y} -%\DeclareMathSymbol{\omegaLGR} {\mathalpha}{sansgreeklettersit}{`w} -%\DeclareMathSymbol{\digammaLGR} {\mathalpha}{sansgreeklettersit}{147} -% -% Based on description of the TS1 encoding in -% http://ctan.math.illinois.edu/macros/latex/doc/encguide.pdf: -\newcommand{\mathrmaux}[1]{\mathrm{#1}} -%\renewcommand{\mathbfit}[1]{\text{\mathastextversion{mathbfit}$#1$\mathastextversion{normal}}} -\newcommand{\renewmathcommands}{% - \renewcommand{\mathnormal}[1]{\textsf{$##1$}}% - \renewcommand{\mathrm} [1]{\text{\mathastextversion{normal}$\mathrmaux{##1}$\mathastextversion{sans}}}% - \renewcommand{\mathup} [1]{\text{\IfInBoldMode\mathastextversion{sansupbold}$##1$\mathastextversion{sansbold}\else\mathastextversion{sansup}$##1$\mathastextversion{sans}\fi\relax}}% - \renewcommand{\mathit} [1]{\textit{$##1$}}% - \renewcommand{\mathbf} [1]{\textbf{$##1$}}% - \renewcommand{\mathbfit}[1]{\text{\mathastextversion{sansbold}$##1$\mathastextversion{sans}}}% -} -\let \oldpm \pm -\let \oldtimes \times -\let \olddiv \div -\makeatletter -\newcommand{\pmsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"B1}}} -\newcommand{\timessf}{\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"D6}}} -\newcommand{\divsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"F6}}} -\newcommand*{\sansmath}{% - \mathastextversion{sans}% -% \@for\@tempa:=% -% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa LGR\endcsname}% - \renewcommand{\pm}{\pmsf}% - \renewcommand{\times}{\timessf}% - \renewcommand{\div}{\divsf}% - \renewmathcommands% -} -\newcommand*{\unsansmath}{% - \mathversion{normal} -% \@for\@tempa:=% -% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa orig\endcsname}% - \renewcommand{\pm}{\oldpm}% - \renewcommand{\times}{\oldtimes}% - \renewcommand{\div}{\olddiv}% -} -\newcommand*{\checkgreekletters}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% - Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{$\csname\@tempa\endcsname,$ }% -} -\makeatother - -% -%\newif\IfInSansMode -%\appto{\sffamily}{\InSansModetrue\mathastextversion{sans}\renewmathcommands\sansmath} -%\appto{\mdseries}{\IfInSansMode\mathastextversion{sans}\fi\relax} -%\appto{\bfseries}{\IfInSansMode\mathastextversion{sansbold}\else\mathversion{bold}\fi\relax} -%\appto{\normalfont}{\unsansmath\mathversion{normal}\InSansModefalse} -%\appto{\rmfamily}{\unsansmath\mathversion{normal}\InSansModefalse} - -\newif\IfInSansMode -\newif\IfInBoldMode -\appto{\sffamily}{\InSansModetrue\sansmath} -\appto{\mdseries}{\InBoldModefalse\IfInSansMode\sansmath\fi\relax} -\appto{\bfseries}{\InBoldModetrue\IfInSansMode\mathastextversion{sansbold}\renewmathcommands\else\mathversion{bold}\fi\relax} -\appto{\normalfont}{\unsansmath\InSansModefalse} -\appto{\rmfamily}{\unsansmath\InSansModefalse} diff --git a/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental_bm_sfmath.tex b/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental_bm_sfmath.tex deleted file mode 100644 index c7b2f85..0000000 --- a/2_Math_Tests/Obsolete/Fonts_and_microtypography_experimental_bm_sfmath.tex +++ /dev/null @@ -1,343 +0,0 @@ -% !TeX TXS-program:compile = txs:///pdflatex/ -% !TeX TS-program = pdflatex -% !TeX TXS-program:bibliography = txs:///biber -% !BIB program = biber - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FONT SETTINGS AND TYPOGRAPHY %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\usepackage[LGR, T1]{fontenc} - -\usepackage[charter, uppercase=italicized, greeklowercase=italicized, greekuppercase=italicized, sfscaled=false, ttscaled=false]{mathdesign} % Use Bitstream Charter as the math font -\usepackage[scaled=.96, lining, sups]{XCharter} % Use Bitstream Charter as the text font -%\renewcommand{\rmdefault}{XCharter-TLF} - -\newcommand{\bmmax}{0} -\newcommand{\hmmax}{0} -\usepackage{bm} -\newcommand{\mathup}[1]{\mathrm{#1}} -\renewcommand{\mathbf}[1]{\bm{\mathrm{#1}}} -\newcommand{\mathbfit}[1]{\bm{#1}} - - -%\DeclareSymbolFont{rmcustom}{T1}{\rmdefault}{\mddefault}{\updefault} - -% \DeclareMathSymbol {} {} {} {} -% Type Meaning Example -% 0 or \mathord Ordinary $\alpha$ -% 1 or \mathop Large operator $\sum$ -% 2 or \mathbin Binary operation $\times$ -% 3 or \mathrel Relation $\leq$ -% 4 or \mathopen Opening $\langle$ -% 5 or \mathclose Closing $\rangle$ -% 6 or \mathpunct Punctuation ; -% 7 or \mathalpha Alphabet character A -% Example declaration: -% \DeclareMathSymbol{b}{3}{letters}{`b} - -%\DeclareMathSymbol{(}{\mathopen}{rmcustom}{`(} -%\DeclareMathSymbol{)}{\mathclose}{rmcustom}{`)} -%\DeclareMathSymbol{[}{\mathopen}{rmcustom}{`[} -%\DeclareMathSymbol{]}{\mathclose}{rmcustom}{`]} -%\DeclareMathSymbol{/}{\mathop}{rmcustom}{`/} % Increase spacing around slash/solidus -%\DeclareMathDelimiter{\lbrace}{\mathopen}{rmcustom}{`\{}{largesymbols}{"08} -%\DeclareMathDelimiter{\rbrace}{\mathclose}{rmcustom}{`\}}{largesymbols}{"09} - -% Reduce/prevent stretching of spaces around operators in inline formulae ==> -% See http://tex.stackexchange.com/questions/83746/keeping-the-distance-between-mathematical-symbols-consistent -% \thinmuskip=3.0mu (already without glue) -\medmuskip=1\medmuskip % Formerly 4.0mu plus 2.0mu minus 4.0mu -> 4.0mu -\thickmuskip=1\thickmuskip % Formerly 5.0mu plus 5.0mu -> 5.0mu -% <== -\spaceskip=\fontdimen2\font plus \fontdimen3\font minus 0.75\fontdimen4\font % Reduce by how much an interword space can shrink -% See http://tex.stackexchange.com/questions/19236/how-to-change-the-interword-spacing and http://tex.stackexchange.com/questions/88991/what-do-different-fontdimennum-mean - -% Increase spacing around relational symbols (<, =, >, \le, \ge, \equiv; +, -, \times, etc.) in display formulae ==> -\newcommand{\thickmu}{\thickmuskip=12mu \medmuskip=6mu} -\AtBeginEnvironment{equation}{\thickmu} -\AtBeginEnvironment{equation*}{\thickmu} -\AtBeginEnvironment{align}{\thickmu} -\AtBeginEnvironment{align*}{\thickmu} -\AtBeginEnvironment{eqnarray}{\thickmu} -\AtBeginEnvironment{eqnarray*}{\thickmu} -% <== - -\usepackage[book, semibold, lining, tabular, scale=0.91]{FiraSans}[2018/05/23] -\makeatletter -\@ifpackagelater{FiraSans}{2018/05/23} - {} - {\PackageError{FiraSans} - {Outdated 'FiraSans' package} - {Upgrade to FiraSans 2018/05/23 or newer!\MessageBreak - Otherwise the sans-serif font may not work properly, or the compilation might fail.\MessageBreak - This is a fatal error. I'm aborting now.}% - \endinput} -\makeatother -%% ``Medium'' as the bold series: -%\makeatletter -%\def\bfseries@sf{mb} -%\makeatother -%% In case you wish to use the ``light'' options of FiraSans: --> -%\usepackage{afterpackage} -%\AfterPackage{siunitx}{% -% \providecommand*{\lseries}{\fontseries{l}\selectfont} -%} -%% <-- -%% See https://tex.stackexchange.com/questions/164791/combination-of-siunitx-and-light-weight-font-fails-to-compile. -\usepackage[lining, scale=0.91]{FiraMono} - - -% The microtype package enables so-called hanging punctuation. That is, when a punctuation sign like ":", ".", "-", etc. is found at the beginning or end of a line, it is protruded a little into the page margin. This results in "optical margin alignment," because the protrusion makes the margin alignment look straighter. -\ifxetex - \usepackage[protrusion=true, expansion=false]{microtype} - % Apart from this, do nothing, since \DisableLigatures[f]{family = {rm*}} and \SetExtraKerning are not available in Xe(La)TeX. -\else - \usepackage[protrusion=true, expansion=false, kerning=true]{microtype} - \DisableLigatures[f]{family = {rm*}} - % Disable the f* ligatures for Charter because the font does not provide sufficient support. - \SetExtraKerning[unit=space] - {encoding=*, family=*, series=*, size={*, normalsize, footnotesize}, font = */*/*/*/*} - {\textemdash = {325, 325}, - / = {100, 100}, - : = { 50, 0}, - ; = { 50, 0}} -\fi - -\frenchspacing % Prevent increased whitespace after periods -\sloppy - -\usepackage{xfrac} % Provides \sfrac - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% SANS-SERIF MATH IN SANS-SERIF ENVIRONMENT %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\usepackage{sansmath} - -%\makeatletter -%\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -%\renewcommand{\seriesdefault}{\mdseries@sf} -%\makeatother -%\renewcommand{\familydefault}{\sfdefault} -%\usepackage[LGRgreek, subdued, italic, itGreek]{mathastext} -%\Mathastext[sans] -%\makeatletter -%\MTDeclareVersion[it]{mathbfit}{T1}{mdbch}{b}{it} -%\renewcommand{\seriesdefault}{\bfseries@sf} -%\makeatother -%\Mathastext[sansbold] -%\makeatletter -%\renewcommand{\seriesdefault}{\mdseries@sf} -%\makeatother -%\Mathastextupgreek -%\MathastextupGreek -%%\renewcommand{\Mathastextshape}{\upshape} -%\makeatletter -%\MTDeclareVersion[n]{sansup}{T1}{\familydefault}{\mdseries@sf}{n} -%\MTDeclareVersion[n]{sansupbold}{T1}{\familydefault}{\bfseries@sf}{n} -%\makeatother -%\renewcommand{\familydefault}{\rmdefault} -%\makeatletter -%\renewcommand{\seriesdefault}{\mdseries@rm} -%\makeatother -%%% Greek letters in the sans-serif font in normal, italic, bold, and bold italic --> -%%%\DeclareSymbolFont{sansgreeklettersup} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%\DeclareSymbolFont{sansgreeklettersit} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%%\DeclareSymbolFont{sansgreeklettersbfup} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%%\DeclareSymbolFont{sansgreeklettersbfit} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%% <-- -%%\SetSymbolFont{sansgreeklettersit} {sans} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%\SetSymbolFont{sansgreeklettersit} {sansbold}{LGR}{\sfdefault}{\bfseries@sf}{it} -%%% The symbol fonts need to be set for BOTH sans math versions so that one can use \mathnormal, \mathit, \mathbf, etc. in BOTH the sans and sansbold math versions. --> -%%%\SetSymbolFont{sansgreeklettersup} {sans} {LGR}{\sfdefault}{\mdseries@sf}{n} -%%%\SetSymbolFont{sansgreeklettersit} {sans} {LGR}{\sfdefault}{\mdseries@sf}{it} -%%%\SetSymbolFont{sansgreeklettersbfup}{sans} {LGR}{\sfdefault}{\bfseries@sf}{n} -%%%\SetSymbolFont{sansgreeklettersbfit}{sans} {LGR}{\sfdefault}{\bfseries@sf}{it} -%%%\SetSymbolFont{sansgreeklettersup} {sansbold}{LGR}{\sfdefault}{\mdseries@sf}{n} -%%%\SetSymbolFont{sansgreeklettersit} {sansbold}{LGR}{\sfdefault}{\mdseries@sf}{it} -%%%\SetSymbolFont{sansgreeklettersbfup}{sansbold}{LGR}{\sfdefault}{\bfseries@sf}{n} -%%%\SetSymbolFont{sansgreeklettersbfit}{sansbold}{LGR}{\sfdefault}{\bfseries@sf}{it} -%%% <-- -%%%% To use a specific font, e.g., DejaVu Sans --> -%%%\DeclareSymbolFont{sansgreeklettersit}{LGR}{DejaVuSans-TLF}{m}{it}% for greek letters -%%%\SetSymbolFont{sansgreeklettersit}{sans}{LGR}{DejaVuSans-TLF}{m}{it}% for greek letters -%%%\SetSymbolFont{sansgreeklettersit}{sansbold}{LGR}{DejaVuSans-TLF}{b}{it}% for greek letters -%%%% <-- -%%%\SetMathAlphabet{\mathit}{sans}{T1}{\sfdefault}{\mdseries@sf}{it} -%%%\SetMathAlphabet{\mathit}{sansbold}{T1}{\sfdefault}{\bfseries@sf}{it} -%%\makeatother -%%% Take symbols from MathDesign Charter in sans mathversion --> -%%\SetSymbolFont{symbols} {sans}{OMS}{mdbch}{m}{n}% -%%\SetSymbolFont{largesymbols}{sans}{OMX}{mdbch}{m}{n}% -%%\SetSymbolFont{symbols} {sansbold}{OMS}{mdbch}{b}{n}% -%%\SetSymbolFont{largesymbols}{sansbold}{OMX}{mdbch}{b}{n}% -%%% <-- -%% -%%% The following is taken from -%%% https://tex.stackexchange.com/questions/116389/automatic-upright-math-when-text-is-in-italic/116399#116399 -%% -%%% Filling in ``missing'' Greek glyphs for completeness -%%% (not really necessary, since they look identical to Latin glyphs and are thus almost never used) -%%\newcommand{\omicron}{o} -%%\newcommand{\Digamma}{F} -%%\newcommand{\Alpha} {A} -%%\newcommand{\Beta} {B} -%%\newcommand{\Epsilon}{E} -%%\newcommand{\Zeta} {Z} -%%\newcommand{\Eta} {H} -%%\newcommand{\Iota} {I} -%%\newcommand{\Kappa} {K} -%%\newcommand{\Mu} {M} -%%\newcommand{\Nu} {N} -%%\newcommand{\Omicron}{O} -%%\newcommand{\Rho} {P} -%%\newcommand{\Tau} {T} -%%\newcommand{\Chi} {X} -%%% Save original definitions of the Greek letters --> -%%\makeatletter -%%\@for\@tempa:=% -%%alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -%%omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -%%Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -%%Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -%%\do{\expandafter\let\csname\@tempa orig\expandafter\endcsname\csname\@tempa\endcsname}% -%%\makeatother -%%% <-- -%% -%%%% 'uppercase' -%%\DeclareMathSymbol{\AlphaLGR} {\mathalpha}{sansgreeklettersit}{`A} -%%\DeclareMathSymbol{\BetaLGR} {\mathalpha}{sansgreeklettersit}{`B} -%%\DeclareMathSymbol{\GammaLGR} {\mathalpha}{sansgreeklettersit}{`G} -%%\DeclareMathSymbol{\DeltaLGR} {\mathalpha}{sansgreeklettersit}{`D} -%%\DeclareMathSymbol{\EpsilonLGR} {\mathalpha}{sansgreeklettersit}{`E} -%%\DeclareMathSymbol{\ZetaLGR} {\mathalpha}{sansgreeklettersit}{`Z} -%%\DeclareMathSymbol{\EtaLGR} {\mathalpha}{sansgreeklettersit}{`H} -%%\DeclareMathSymbol{\ThetaLGR} {\mathalpha}{sansgreeklettersit}{`J} -%%\DeclareMathSymbol{\IotaLGR} {\mathalpha}{sansgreeklettersit}{`I} -%%\DeclareMathSymbol{\KappaLGR} {\mathalpha}{sansgreeklettersit}{`K} -%%\DeclareMathSymbol{\LambdaLGR} {\mathalpha}{sansgreeklettersit}{`L} -%%\DeclareMathSymbol{\MuLGR} {\mathalpha}{sansgreeklettersit}{`M} -%%\DeclareMathSymbol{\NuLGR} {\mathalpha}{sansgreeklettersit}{`N} -%%\DeclareMathSymbol{\XiLGR} {\mathalpha}{sansgreeklettersit}{`X} -%%\DeclareMathSymbol{\OmicronLGR} {\mathalpha}{sansgreeklettersit}{`O} -%%\DeclareMathSymbol{\PiLGR} {\mathalpha}{sansgreeklettersit}{`P} -%%\DeclareMathSymbol{\RhoLGR} {\mathalpha}{sansgreeklettersit}{`R} -%%\DeclareMathSymbol{\SigmaLGR} {\mathalpha}{sansgreeklettersit}{`S} -%%\DeclareMathSymbol{\TauLGR} {\mathalpha}{sansgreeklettersit}{`T} -%%\DeclareMathSymbol{\UpsilonLGR} {\mathalpha}{sansgreeklettersit}{`U} -%%\DeclareMathSymbol{\PhiLGR} {\mathalpha}{sansgreeklettersit}{`F} -%%\DeclareMathSymbol{\ChiLGR} {\mathalpha}{sansgreeklettersit}{`Q} -%%\DeclareMathSymbol{\PsiLGR} {\mathalpha}{sansgreeklettersit}{`Y} -%%\DeclareMathSymbol{\OmegaLGR} {\mathalpha}{sansgreeklettersit}{`W} -%%\DeclareMathSymbol{\DigammaLGR} {\mathalpha}{sansgreeklettersit}{195} -%%%% 'lowercase' -%%\DeclareMathSymbol{\alphaLGR} {\mathalpha}{sansgreeklettersit}{`a} -%%\DeclareMathSymbol{\betaLGR} {\mathalpha}{sansgreeklettersit}{`b} -%%\DeclareMathSymbol{\gammaLGR} {\mathalpha}{sansgreeklettersit}{`g} -%%\DeclareMathSymbol{\deltaLGR} {\mathalpha}{sansgreeklettersit}{`d} -%%\DeclareMathSymbol{\epsilonLGR} {\mathalpha}{sansgreeklettersit}{`e} -%%\DeclareMathSymbol{\zetaLGR} {\mathalpha}{sansgreeklettersit}{`z} -%%\DeclareMathSymbol{\etaLGR} {\mathalpha}{sansgreeklettersit}{`h} -%%\DeclareMathSymbol{\thetaLGR} {\mathalpha}{sansgreeklettersit}{`j} -%%\DeclareMathSymbol{\iotaLGR} {\mathalpha}{sansgreeklettersit}{`i} -%%\DeclareMathSymbol{\kappaLGR} {\mathalpha}{sansgreeklettersit}{`k} -%%\DeclareMathSymbol{\lambdaLGR} {\mathalpha}{sansgreeklettersit}{`l} -%%\DeclareMathSymbol{\muLGR} {\mathalpha}{sansgreeklettersit}{`m} -%%\DeclareMathSymbol{\nuLGR} {\mathalpha}{sansgreeklettersit}{`n} -%%\DeclareMathSymbol{\xiLGR} {\mathalpha}{sansgreeklettersit}{`x} -%%\DeclareMathSymbol{\omicronLGR} {\mathalpha}{sansgreeklettersit}{`o} -%%\DeclareMathSymbol{\piLGR} {\mathalpha}{sansgreeklettersit}{`p} -%%\DeclareMathSymbol{\rhoLGR} {\mathalpha}{sansgreeklettersit}{`r} -%%\DeclareMathSymbol{\sigmaLGR} {\mathalpha}{sansgreeklettersit}{`s} -%%\DeclareMathSymbol{\varsigmaLGR}{\mathalpha}{sansgreeklettersit}{`c} -%%\DeclareMathSymbol{\tauLGR} {\mathalpha}{sansgreeklettersit}{`t} -%%\DeclareMathSymbol{\upsilonLGR} {\mathalpha}{sansgreeklettersit}{`u} -%%\DeclareMathSymbol{\phiLGR} {\mathalpha}{sansgreeklettersit}{`f} -%%\DeclareMathSymbol{\chiLGR} {\mathalpha}{sansgreeklettersit}{`q} -%%\DeclareMathSymbol{\psiLGR} {\mathalpha}{sansgreeklettersit}{`y} -%%\DeclareMathSymbol{\omegaLGR} {\mathalpha}{sansgreeklettersit}{`w} -%%\DeclareMathSymbol{\digammaLGR} {\mathalpha}{sansgreeklettersit}{147} -%% -%%% Based on description of the TS1 encoding in -%%% http://ctan.math.illinois.edu/macros/latex/doc/encguide.pdf: -%%\let \oldpm \pm -%%\let \oldtimes \times -%%\let \olddiv \div -%%\makeatletter -%%\newcommand{\pmsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"B1}}} -%%\newcommand{\timessf}{\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"D6}}} -%%\newcommand{\divsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"F6}}} -%%\newcommand*{\sansmath}{% -%% \@for\@tempa:=% -%% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -%% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -%% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -%% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -%% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa LGR\endcsname}% -%% \renewcommand{\pm}{\pmsf}% -%% \renewcommand{\times}{\timessf}% -%% \renewcommand{\div}{\divsf}% -%%} -%%\newcommand*{\unsansmath}{% -%% \@for\@tempa:=% -%% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -%% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -%% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -%% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -%% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa orig\endcsname}% -%% \renewcommand{\pm}{\oldpm}% -%% \renewcommand{\times}{\oldtimes}% -%% \renewcommand{\div}{\olddiv}% -%%} -%%\newcommand*{\checkgreekletters}{% -%% \@for\@tempa:=% -%% alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -%% omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -%% Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% -%% Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% -%% \do{$\csname\@tempa\endcsname,$ }% -%%} -%%\makeatother -% -%\newcommand{\mathrmaux}[1]{\mathrm{#1}} -%\newcommand{\mathbfit}[1]{\text{\mathastextversion{mathbfit}$#1$\mathastextversion{normal}}} -%\newcommand{\renewmathcommands}{% -% \renewcommand{\mathnormal}[1]{\textmd{$##1$}}% -% \renewcommand{\mathrm} [1]{\text{\mathastextversion{normal}$\mathrmaux{##1}$\mathastextversion{sans}}}% -% \renewcommand{\mathup} [1]{\text{\IfInBoldMode\mathastextversion{sansupbold}$##1$\mathastextversion{sansbold}\else\mathastextversion{sansup}$##1$\mathastextversion{sans}\fi\relax}}% -% \renewcommand{\mathit} [1]{##1}% -% \renewcommand{\mathbf} [1]{\textbf{$##1$}}% -%} -%% -%%\newif\IfInSansMode -%%\appto{\sffamily}{\InSansModetrue\mathastextversion{sans}\renewmathcommands\sansmath} -%%\appto{\mdseries}{\IfInSansMode\mathastextversion{sans}\fi\relax} -%%\appto{\bfseries}{\IfInSansMode\mathastextversion{sansbold}\else\mathversion{bold}\fi\relax} -%%\appto{\normalfont}{\unsansmath\mathversion{normal}\InSansModefalse} -%%\appto{\rmfamily}{\unsansmath\mathversion{normal}\InSansModefalse} -% -\makeatletter -\newcommand*{\checkgreekletters}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Gamma,Delta,Epsilon,Theta,Lambda,Xi,% - Pi,Sigma,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{$\csname\@tempa\endcsname,$ }% -} -\makeatother -% -%\newif\IfInSansMode -%\newif\IfInBoldMode -%\appto{\sffamily}{\InSansModetrue\mathastextversion{sans}\renewmathcommands} -%\appto{\mdseries}{\InBoldModefalse\IfInSansMode\mathastextversion{sans}\fi\relax} -%\appto{\bfseries}{\InBoldModetrue\IfInSansMode\mathastextversion{sansbold}\renewmathcommands\else\mathversion{bold}\fi\relax} -%\appto{\normalfont}{\mathversion{normal}\InSansModefalse} -%\appto{\rmfamily}{\mathversion{normal}\InSansModefalse} diff --git a/2_Math_Tests/Obsolete/Sansserif_math.bak.tex b/2_Math_Tests/Obsolete/Sansserif_math.bak.tex deleted file mode 100644 index 2164344..0000000 --- a/2_Math_Tests/Obsolete/Sansserif_math.bak.tex +++ /dev/null @@ -1,194 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% SANS-SERIF MATH IN SANS-SERIF ENVIRONMENT %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\renewcommand{\rmdefault}{\savedrmdefaultformath} -\renewcommand{\seriesdefault}{\savedseriesdefaultformath} -\renewcommand{\familydefault}{\rmdefault} -\usepackage[subdued, nominus, LGRgreek, italic, itGreek]{mathastext} -% Even in "subdued" mode, mathastext replaces the minus sign by the en-dash. Reverse this: -%\DeclareMathSymbol{-}{\mathbin}{symbols}{0} - -%\Mathastextstandardgreek -%\Mathastext[normal] -%\makeatletter -%\@for\@tempa:=a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,% -% A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z% -% \do{\Mathastextsetmathskips{\@tempa}{2mu}{2mu}}% -%\makeatother -% \Mathastext[normal] destroys the Greek characters for mathdesign, restore them: -%\makeatletter -%\SetSymbolFont{letters}{normal}{OML}{\savedrmdefaultformath}{\savedseriesdefaultformath}{it}% -%\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -%\renewcommand{\seriesdefault}{\mdseries@sf} -%\makeatother -%\Mathastextcustomgreek -%\renewcommand{\familydefault}{\sfdefault} -%\Mathastextgreekfont{\familydefault} -%\Mathastext[sans] - -% Redefine \mathit so that it also represents Greek letters correctly ==> -\def\italicizeWholeString #1{% - \xItalicize#1$\wholeString% -} -\def\xItalicize#1#2\wholeString {% - \if#1$% - \else\say{#1}% - \takeTheRest#2\ofTheString - \fi% -} -\def\takeTheRest#1\ofTheString\fi {% - \fi \xItalicize#1\wholeString% -} -\def\say#1{% - \textit{$#1$\hspace{-0.05em}}% -} -\let \mathitorig \mathit -\renewcommand{\mathit}[1]{\italicizeWholeString{#1}} -% <== - -\newcommand{\mathup}[1]{\mathrm{#1}} -\renewcommand{\mathbf}[1]{\bm{\mathrm{#1}}} -\newcommand{\mathbfit}[1]{\bm{\mathit{#1}}} - -\Mathastextgreekfont{\sfdefault} -\renewcommand{\familydefault}{\sfdefault} - -%\makeatletter -%\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -%\makeatother - -% "sans" (\mdseries) mathversion ==> -\makeatletter -\renewcommand{\seriesdefault}{\mdseries@sf} -%\@for\@tempa:=a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z% -% A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z% -% \do{\Mathastextsetmathskips{\@tempa}{2mu}{2mu}}% -\makeatother -% We cannot use \MathastextDeclareVersion{...} for sans and sansbold, because this would apply either italics also to all digits and delimiters or upright to all variables. -\Mathastext[sans] -% Take symbols from MathDesign Charter in the sans mathversion, -% because there is no sans-serif font containing summation symbols etc.: -\SetSymbolFont{symbols} {sans}{OMS}{mdbch} {m}{n}% -\SetSymbolFont{largesymbols}{sans}{OMX}{mdbch} {m}{n}% -\SetMathAlphabet{\mathcal} {sans}{OMS}{xmdcmsy}{m}{n}% -%\DeclareSymbolFontAlphabet{\mathcal}{mdcal} -%\DeclareSymbolFont{mdscr}{OMS}{mdbch}{m}{n}% -\SetMathAlphabet{\mathfrak} {sans}{U} {xmdeuf} {m}{n}% -%% From mathastext.sty: -%\DeclareMathSymbol{-}{\mathbin}{mtoperatorfont}{21} -%% <== - -% "sansbold" mathversion ==> -\makeatletter -\renewcommand{\seriesdefault}{\bfseries@sf} -\makeatother -\Mathastext[sansbold] -% Take symbols from MathDesign Charter in the sansbold mathversion, -% because there is no sans-serif font containing summation symbols etc.: -\SetSymbolFont{symbols} {sansbold}{OMS}{mdbch} {b}{n}% -\SetSymbolFont{largesymbols}{sansbold}{OMX}{mdbch} {b}{n}% -\SetMathAlphabet{\mathcal} {sansbold}{OMS}{xmdcmsy}{b}{n}% -\SetMathAlphabet{\mathfrak} {sansbold}{U} {xmdeuf} {b}{n}% -% <== -\Mathastextupgreek -\MathastextupGreek -\makeatletter -\MathastextDeclareVersion[n]{sansup} {T1}{\familydefault}{\mdseries@sf}{n} -\MathastextDeclareVersion[n]{sansupbold}{T1}{\familydefault}{\bfseries@sf}{n} -\makeatother - -% Loading siunitx eats up math alphabets in the "normal" mathversion. -% Avoid the "Too many math alphabets used in verison normal" error by -% relegating \mathcal and \mathfrak to a separate version. ==> -\MathastextDeclareVersion[n]{calligraphic}{OMS}{xmdcmsy}{m}{n} -\SetMathAlphabet{\mathcal} {calligraphic}{OMS}{xmdcmsy}{m}{n}% -\SetMathAlphabet{\mathfrak} {calligraphic}{U} {xmdeuf} {m}{n} -\let \mathcalaux \mathcal -\let \mathfrakaux \mathfrak -\renewcommand{\mathcal}[1]{% - \textnormal{\IfInSansMode$\mathcalaux{#1}$% - \else\mathastextversion{calligraphic}$\mathcalaux{#1}$\mathversion{normal}% - \fi\relax}% -} -\renewcommand{\mathfrak}[1]{% - \textnormal{\IfInSansMode$\mathfrakaux{#1}$% - \else\mathastextversion{calligraphic}$\mathfrakaux{#1}$\mathversion{normal}% - \fi\relax}% -} -% <== - -% Take additional math symbols from the sans-serif family ==> -\let \oldpm \pm -\let \oldtimes \times -\let \olddiv \div -\makeatletter -\newcommand{\pmsf} {\mathbin{\textnormal{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"B1}}} -\newcommand{\timessf}{\mathbin{\textnormal{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"D6}}} -\newcommand{\divsf} {\mathbin{\textnormal{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"F6}}} -\makeatother -% <== - -\newif\IfInSansMode -\newif\IfInBoldMode -\let \mathrmaux \mathrm -\newcommand{\renewmathcommands}{% - \renewcommand{\mathnormal}[1]{\textsf{$##1$}}% - \renewcommand{\mathrm}[1]{% - \textrm{\mathversion{normal}\Mathastextstandardgreek$\mathrmaux{##1}$\mathastextversion{sans}}% - }% - \renewcommand{\mathup}[1]{% - \textsf{\IfInBoldMode\mathastextversion{sansupbold}$##1$\mathastextversion{sansbold}\else\mathastextversion{sansup}$##1$\mathastextversion{sans}\fi\relax}% - }% - \renewcommand{\mathit} [1]{\textsf{\mathastextversion{sans}$##1$}}% - \renewcommand{\mathbf} [1]{\textsf{\mathastextversion{sansbold}$##1$\mathastextversion{sans}}}% - \renewcommand{\mathbfit}[1]{\textnormal{\mathastextversion{sansbold}$##1$\mathastextversion{sans}}}% - \renewcommand{\pm} {\pmsf}% - \renewcommand{\times}{\timessf}% - \renewcommand{\div} {\divsf}% -} - -\newcommand{\sansmath}{% - \InSansModetrue% - \mathastextversion{sans}% - \renewmathcommands% -} -\newcommand{\unsansmath}{% - \mathversion{normal}% - \InSansModefalse% -} -% In subdued mode, the "normal" math version is NOT subject to \Mathastext - -\appto{\sffamily}{\sansmath} -\appto{\mdseries}{\InBoldModefalse\IfInSansMode\sansmath\fi\relax} -\appto{\bfseries}{\InBoldModetrue\IfInSansMode\mathastextversion{sansbold}\renewmathcommands\else\mathversion{bold}\fi\relax} -\appto{\normalfont}{\unsansmath} -\appto{\rmfamily}{\unsansmath} - -% Revert to the initial font families ==> -\renewcommand{\rmdefault}{\savedrmdefaultfortext} -\renewcommand{\seriesdefault}{\savedseriesdefaultfortext} -\renewcommand{\familydefault}{\rmdefault} -% <== - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -% Fill in ``missing'' Greek glyphs for completeness (not really necessary, -% since they look identical to Latin glyphs and are thus almost never used) ==> -\newcommand{\omicron}{o} -\newcommand{\Digamma}{F} -\newcommand{\Alpha} {A} -\newcommand{\Beta} {B} -\newcommand{\Epsilon}{E} -\newcommand{\Zeta} {Z} -\newcommand{\Eta} {H} -\newcommand{\Iota} {I} -\newcommand{\Kappa} {K} -\newcommand{\Mu} {M} -\newcommand{\Nu} {N} -\newcommand{\Omicron}{O} -\newcommand{\Rho} {P} -\newcommand{\Tau} {T} -\newcommand{\Chi} {X} -% <== \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest-barebones.pdf b/2_Math_Tests/Obsolete/mathtest-barebones.pdf deleted file mode 100644 index 6fb61c9..0000000 Binary files a/2_Math_Tests/Obsolete/mathtest-barebones.pdf and /dev/null differ diff --git a/2_Math_Tests/Obsolete/mathtest-barebones.tex b/2_Math_Tests/Obsolete/mathtest-barebones.tex deleted file mode 100644 index 019294b..0000000 --- a/2_Math_Tests/Obsolete/mathtest-barebones.tex +++ /dev/null @@ -1,1265 +0,0 @@ -\documentclass[a4paper, fleqn]{article} - -\newcommand{\dissafterdefense}{1} -% Set to 1 for the final version AFTER the defense, because only after the defense is the second page (which lists the date of the defense and the names of the supervisors) to be included! -% The same applies to the ``Tag der Promotion'' note on the title page. - -\newcommand{\disstitle} - {Essays in Theoretical and Empirical Microeconomics and Macroecoconomics with \unskip\nobreak\ Implications for Social Policy Here \unskip\nobreak\ and \unskip\nobreak\ There} -\newcommand{\dissauthor} - {Will~B. te~Mol} -\newcommand{\dissbornin} - {Summacumlaudeville} -\newcommand{\dissyear} - {2018} -\newcommand{\dissdean} - {Prof.~Dr. Daniel Zimmer, LL.\,M.} -\newcommand{\dissfirstsupervisor} - {Prof.~Dr. Armin Falk} -\newcommand{\disssecondsupervisor} - {Prof.~Dr. Hans-Martin von Gaudecker} -\newcommand{\dissdatedefense} - {4.~Juli~2018} - - -\input{../0_0_Preamble/Fundamental_packages} -\input{../0_0_Preamble/Page_layout_and_macrotypography} - -%\usepackage{etoolbox} -%\usepackage{amsmath} -\usepackage[LGR, T1]{fontenc} - -\usepackage[charter, uppercase=italicized, greeklowercase=italicized, greekuppercase=italicized, sfscaled=false, ttscaled=false]{mathdesign} % Use Bitstream Charter as the math font -\let \savedrmdefaultformath \rmdefault -\let \savedseriesdefaultformath \seriesdefault -\newcommand{\bmmax}{0} -\newcommand{\hmmax}{0} -\usepackage{bm} -\usepackage[scaled=.96, lining, sups]{XCharter} % Use Bitstream Charter as the text font -\let \savedrmdefaultfortext \rmdefault -\let \savedseriesdefaultfortext \seriesdefault - -%\usepackage{fourier} - -\usepackage[book, semibold, lining, tabular, scale=0.91]{FiraSans}[2018/05/23] -\makeatletter -\@ifpackagelater{FiraSans}{2018/05/23} - {} - {\PackageError{FiraSans} - {Outdated 'FiraSans' package} - {Upgrade to FiraSans 2018/05/23 or newer!\MessageBreak - Otherwise the sans-serif font may not work properly, or the compilation might fail.\MessageBreak - This is a fatal error. I'm aborting now.}% - \endinput} -\makeatother -\usepackage[lining, scale=0.91]{FiraMono} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%%% SANS-SERIF MATH IN SANS-SERIF ENVIRONMENT %% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% -%\renewcommand{\rmdefault}{\savedrmdefaultformath} -%\renewcommand{\seriesdefault}{\savedseriesdefaultformath} -%\renewcommand{\familydefault}{\rmdefault} -%\usepackage[subdued, LGRgreek, italic, itGreek]{mathastext} -%% Even in "subdued" mode, mathastext replaces the minus sign by the en-dash. Reverse this: -%\DeclareMathSymbol{-}{\mathbin}{symbols}{0} -% -%%\Mathastextstandardgreek -%%\Mathastext[normal] -%%\makeatletter -%%\@for\@tempa:=a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,% -%% A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z% -%% \do{\Mathastextsetmathskips{\@tempa}{2mu}{2mu}}% -%%\makeatother -%% \Mathastext[normal] destroys the Greek characters for mathdesign, restore them: -%%\makeatletter -%%\SetSymbolFont{letters}{normal}{OML}{\savedrmdefaultformath}{\savedseriesdefaultformath}{it}% -%%\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -%%\renewcommand{\seriesdefault}{\mdseries@sf} -%%\makeatother -%%\Mathastextcustomgreek -%%\renewcommand{\familydefault}{\sfdefault} -%%\Mathastextgreekfont{\familydefault} -%%\Mathastext[sans] -% -%% Redefine \mathit so that it also represents Greek letters correctly ==> -%\def\italicizeWholeString #1{% -% \xItalicize#1$\wholeString% -%} -%\def\xItalicize#1#2\wholeString {% -% \if#1$% -% \else\say{#1}% -% \takeTheRest#2\ofTheString -% \fi% -%} -%\def\takeTheRest#1\ofTheString\fi {% -% \fi \xItalicize#1\wholeString% -%} -%\def\say#1{% -% \textit{$#1$\hspace{-0.05em}}% -%} -%\let \mathitorig \mathit -%\renewcommand{\mathit}[1]{\italicizeWholeString{#1}} -%% <== -% -%\newcommand{\mathup}[1]{\mathrm{#1}} -%\renewcommand{\mathbf}[1]{\bm{\mathrm{#1}}} -%\newcommand{\mathbfit}[1]{\bm{\mathit{#1}}} -% -%\Mathastextgreekfont{\sfdefault} -%\renewcommand{\familydefault}{\sfdefault} -% -%%\makeatletter -%%\SetMathAlphabet{\mathbf}{normal}{T1}{\rmdefault}{\bfseries@rm}{it} -%%\makeatother -% -%% "sans" (\mdseries) mathversion ==> -%\makeatletter -%\renewcommand{\seriesdefault}{\mdseries@sf} -%%\@for\@tempa:=a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z% -%% A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z% -%% \do{\Mathastextsetmathskips{\@tempa}{2mu}{2mu}}% -%\makeatother -%% We cannot use \MathastextDeclareVersion{...} for sans and sansbold, because this would apply either italics also to all digits and delimiters or upright to all variables. -%\Mathastext[sans] -%% Take symbols from MathDesign Charter in the sans mathversion, -%% because there is no sans-serif font containing summation symbols etc.: -%\SetSymbolFont{symbols} {sans}{OMS}{mdbch}{m}{n}% -%\SetSymbolFont{largesymbols}{sans}{OMX}{mdbch}{m}{n}% -%% <== -% -%% "sansbold" mathversion ==> -%\makeatletter -%\renewcommand{\seriesdefault}{\bfseries@sf} -%\makeatother -%\Mathastext[sansbold] -%\Mathastextupgreek -%\MathastextupGreek -%\makeatletter -%\MathastextDeclareVersion[n]{sansup}{T1}{\familydefault}{\mdseries@sf}{n} -%\MathastextDeclareVersion[n]{sansupbold}{T1}{\familydefault}{\bfseries@sf}{n} -%\makeatother -%% Take symbols from MathDesign Charter in the sansbold mathversion, -%% because there is no sans-serif font containing summation symbols etc.: -%\SetSymbolFont{symbols} {sansbold}{OMS}{mdbch}{b}{n}% -%\SetSymbolFont{largesymbols}{sansbold}{OMX}{mdbch}{b}{n}% -%% <== -% -%% Take additional math symbols from the sans-serif family ==> -%\let \oldpm \pm -%\let \oldtimes \times -%\let \olddiv \div -%\makeatletter -%\newcommand{\pmsf} {\mathbin{\textnormal{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"B1}}} -%\newcommand{\timessf}{\mathbin{\textnormal{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"D6}}} -%\newcommand{\divsf} {\mathbin{\textnormal{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"F6}}} -%\makeatother -%% <== -% -%\newif\IfInSansMode -%\newif\IfInBoldMode -%\let \mathrmaux \mathrm -%\newcommand{\renewmathcommands}{% -% \renewcommand{\mathnormal}[1]{\textsf{$##1$}}% -% \renewcommand{\mathrm}[1]{% -% \textrm{\mathversion{normal}\Mathastextstandardgreek$\mathrmaux{##1}$\mathastextversion{sans}}% -% }% -% \renewcommand{\mathup}[1]{% -% \textsf{\IfInBoldMode\mathastextversion{sansupbold}$##1$\mathastextversion{sansbold}\else\mathastextversion{sansup}$##1$\mathastextversion{sans}\fi\relax}% -% }% -% \renewcommand{\mathit} [1]{\textsf{\mathastextversion{sans}$##1$}}% -% \renewcommand{\mathbf} [1]{\textsf{\mathastextversion{sansbold}$##1$\mathastextversion{sans}}}% -% \renewcommand{\mathbfit}[1]{\textnormal{\mathastextversion{sansbold}$##1$\mathastextversion{sans}}}% -% \renewcommand{\pm} {\pmsf}% -% \renewcommand{\times}{\timessf}% -% \renewcommand{\div} {\divsf}% -%} -% -%\newcommand{\sansmath}{% -% \InSansModetrue% -% \mathastextversion{sans}% -% \renewmathcommands% -%} -%\newcommand{\unsansmath}{% -% \mathversion{normal}% -% \InSansModefalse% -%} -%% In subdued mode, the "normal" math version is NOT subject to \Mathastext -% -%\appto{\sffamily}{\sansmath} -%\appto{\mdseries}{\InBoldModefalse\IfInSansMode\sansmath\fi\relax} -%\appto{\bfseries}{\InBoldModetrue\IfInSansMode\mathastextversion{sansbold}\renewmathcommands\else\mathversion{bold}\fi\relax} -%\appto{\normalfont}{\unsansmath} -%\appto{\rmfamily}{\unsansmath} -% -%% Revert to the initial font families ==> -%\renewcommand{\rmdefault}{\savedrmdefaultfortext} -%\renewcommand{\seriesdefault}{\savedseriesdefaultfortext} -%\renewcommand{\familydefault}{\rmdefault} -%% <== -% -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -%% Filling in ``missing'' Greek glyphs for completeness (not really necessary, -%% since they look identical to Latin glyphs and are thus almost never used) ==> -%\newcommand{\omicron}{o} -%\newcommand{\Digamma}{F} -%\newcommand{\Alpha} {A} -%\newcommand{\Beta} {B} -%\newcommand{\Epsilon}{E} -%\newcommand{\Zeta} {Z} -%\newcommand{\Eta} {H} -%\newcommand{\Iota} {I} -%\newcommand{\Kappa} {K} -%\newcommand{\Mu} {M} -%\newcommand{\Nu} {N} -%\newcommand{\Omicron}{O} -%\newcommand{\Rho} {P} -%\newcommand{\Tau} {T} -%\newcommand{\Chi} {X} -%% <== -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\input{../0_0_Preamble/Sansserif_math} - -%\parindent 0pt -%\mathindent 1em - -\def\test#1{#1} - -\def\testnums{% - \test 0 \test 1 \test 2 \test 3 \test 4 \test 5 \test 6 \test 7 - \test 8 \test 9 } -\def\testupperi{% - \test A \test B \test C \test D \test E \test F \test G \test H - \test I \test J \test K \test L \test M } -\def\testupperii{% - \test N \test O \test P \test Q \test R \test S \test T \test U - \test V \test W \test X \test Y \test Z } -\def\testupper{% - \testupperi\testupperii} - -\def\testloweri{% - \test a \test b \test c \test d \test e \test f \test g \test h - \test i \test j \test k \test l \test m } -\def\testlowerii{% - \test n \test o \test p \test q \test r \test s \test t \test u - \test v \test w \test x \test y \test z } -\def\testlower{% - \testloweri\testlowerii} - -\def\testupgreeki{% - \test A \test B \test\Gamma \test\Delta \test E \test Z \test H - \test\Theta \test I \test K \test\Lambda \test M } -\def\testupgreekii{% - \test N \test\Xi \test O \test\Pi \test P \test\Sigma \test T - \test\Upsilon \test\Phi \test X \test\Psi \test\Omega } -\def\testupgreek{% - \testupgreeki\testupgreekii} - -\def\testlowgreeki{% - \test\alpha \test\beta \test\gamma \test\delta \test\epsilon - \test\zeta \test\eta \test\theta \test\iota \test\kappa \test\lambda - \test\mu } -\def\testlowgreekii{% - \test\nu \test\xi \test o \test\pi \test\rho \test\sigma \test\tau - \test\upsilon \test\phi \test\chi \test\psi \test\omega } -\def\testlowgreekiii{% - \test\varepsilon \test\vartheta \test\varpi \test\varrho - \test\varsigma \test\varphi} -\def\testlowgreek{% - \testlowgreeki\testlowgreekii\testlowgreekiii} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - - - -\begin{document} - -\savedrmdefaultformath-\savedseriesdefaultformath - -\savedrmdefaultfortext-\savedseriesdefaultfortext - -\rmdefault-\seriesdefault - -\bigskip - -Default: $a \alpha b \beta G \Gamma P \Pi \alpha \beta$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alphaup b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ - -\bigskip - -{\sffamily -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - -\bigskip - -{\sffamily\bfseries - -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - -\section{Formulas} - -\noindent -\checkgreekletters - -\noindent -{\boldmath\checkgreekletters} - -\noindent -{\sffamily\selectfont \checkgreekletters} - -\noindent -{\sffamily\bfseries\selectfont \checkgreekletters} - -\noindent -{\sffamily $\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$} - -\noindent -$\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$ - -$s \pm 3 \gamma + y - 1 = 4 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ - -\noindent -{\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - - -\section{Math Alphabets} - -%\sffamily\selectfont - -Default -\def\test#1{#1,} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Normal (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\mathit{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Script (\texttt{\string\mathscr}) -\def\test#1{\mathscr{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Fraktur (\texttt{\string\mathfrak}) -\def\test#1{\mathfrak{#1},} -\begin{eqnarray*} - && {\testupper}\\ - && {\testlower} -\end{eqnarray*}% - -Blackboard Bold (\texttt{\string\mathbb}) -\def\test#1{\mathbb{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - - - -\section{Character Sidebearings} - -Default -\def\test#1{|#1|+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{|\mathrm{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{|\mathbm{#1}|+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{|\mathbf{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{|\mathcal{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - - -\section{Superscript positioning} - -Default -\def\test#1{#1^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}^{2}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - - -\section{Subscript positioning} - -Default -\def\test#1{\mathnormal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Bold Italic (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}_{i}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - - -\section{Accent positioning} - -Default -\def\test#1{\hat{#1}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\hat{\mathit{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri} \test\ell \test\wp \test\imath \test\jmath \tilde{i} \\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\hat{\mathrm{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\hat{\mathbm{#1}}+{}}% -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\hat{\mathbf{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\hat{\mathcal{#1}}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\section{Differentials} - -\newcommand{\dit}{\mathit{d}} -\newcommand{\dup}{\mathup{d}} - -\begin{eqnarray*} -\gdef\test#1{\dit #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dit \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\dup #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dup \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\partial #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - - -\section{Slash kerning} - -\def\test#1{1/#1+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - - -\section{Big operators} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\section{Radicals} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\section{Over- and underbraces} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\section{Normal and wide accents} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - -\begin{displaymath} - \hat{x} \quad - \check{x} \quad - \tilde{x} \quad - \acute{x} \quad - \grave{x} \quad - \dot{x} \quad - \ddot{x} \quad - \breve{x} \quad - \bar{x} \quad - \vec{x} \quad -\end{displaymath} - - -\section{Long arrows} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\section{Left and right delimiters} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -Using {\tt\string\left} and {\tt\string\right}. -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - - -\section{Big-g-g delimiters} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - - - -\def\X#1{$x #1 y$ &\tt\string#1} -\def\Y#1{$\big#1$ &\tt\string#1} -\def\Z#1{$x #1 y$} -\def\W#1#2{$#1{#2}$ &\tt\string#1\string{#2\string}} - -\section{Binary Operators} - -\begin{tabular}{*8l} -\X\pm &\X\cap &\X\diamond &\X\oplus \\ -\X\mp &\X\cup &\X\bigtriangleup &\X\ominus \\ -\X\times &\X\uplus &\X\bigtriangledown &\X\otimes \\ -\X\div &\X\sqcap &\X\triangleleft &\X\oslash \\ -\X\ast &\X\sqcup &\X\triangleright &\X\odot \\ -\X\star &\X\vee &\X\lhd &\X\bigcirc \\ -\X\circ &\X\wedge &\X\rhd &\X\dagger \\ -\X\bullet &\X\setminus &\X\unlhd &\X\ddagger \\ -\X\cdot &\X\wr &\X\unrhd &\X\S \\ -\X+ &\X- &\X\amalg &\X\P -\end{tabular} - -\section{Relations} - -\begin{tabular}{*8l} -\X\leq &\X\geq &\X\equiv &\X\models \\ -\X\prec &\X\succ &\X\sim &\X\perp \\ -\X\preceq &\X\succeq &\X\simeq &\X\mid \\ -\X\ll &\X\gg &\X\asymp &\X\parallel \\ -\X\subset &\X\supset &\X\approx &\X\bowtie \\ -\X\subseteq &\X\supseteq &\X\cong &\X\Join \\ -\X\sqsubset &\X\sqsupset &\X\neq &\X\smile \\ -\X\sqsubseteq &\X\sqsupseteq &\X\doteq &\X\frown \\ -\X\in &\X\ni &\X\propto &\X= \\ -\X\vdash &\X\dashv &\X< &\X> \\ -\X: -\end{tabular} - - -\section{Punctuation} - -\begin{tabular}{*{5}{lp{3.2em}}} -\X, &\X; &\X\colon &\X\ldotp &\X\cdotp -\end{tabular} - -\section{Arrows} - -\begin{tabular}{*6l} -\X\leftarrow &\X\longleftarrow &\X\uparrow \\ -\X\Leftarrow &\X\Longleftarrow &\X\Uparrow \\ -\X\rightarrow &\X\longrightarrow &\X\downarrow \\ -\X\Rightarrow &\X\Longrightarrow &\X\Downarrow \\ -\X\leftrightarrow &\X\longleftrightarrow &\X\updownarrow \\ -\X\Leftrightarrow &\X\Longleftrightarrow &\X\Updownarrow \\ -\X\mapsto &\X\longmapsto &\X\nearrow \\ -\X\hookleftarrow &\X\hookrightarrow &\X\searrow \\ -\X\leftharpoonup &\X\rightharpoonup &\X\swarrow \\ -\X\leftharpoondown &\X\rightharpoondown &\X\nwarrow \\ -\X\rightleftharpoons &\X\leadsto -\end{tabular} - -\section{Miscellaneous Symbols} - -\begin{tabular}{*8l} -\X\ldots &\X\cdots &\X\vdots &\X\ddots \\ -\X\aleph &\X\prime &\X\forall &\X\infty \\ -\X\hbar &\X\emptyset &\X\exists &\X\Box \\ -\X\imath &\X\nabla &\X\neg &\X\Diamond \\ -\X\jmath &\X\surd &\X\flat &\X\triangle \\ -\X\ell &\X\top &\X\natural &\X\clubsuit \\ -\X\wp &\X\bot &\X\sharp &\X\diamondsuit \\ -\X\Re &\X\| &\X\backslash &\X\heartsuit \\ -\X\Im &\X\angle &\X\partial &\X\spadesuit \\ -\X\mho &\X. &\X| &\X! -\end{tabular} - -\section{Variable-sized Operators} - -\begin{tabular}{*6l} -\X\sum &\X\bigcap &\X\bigodot \\ -\X\prod &\X\bigcup &\X\bigotimes \\ -\X\coprod &\X\bigsqcup &\X\bigoplus \\ -\X\int &\X\bigvee &\X\biguplus \\ -\X\oint &\X\bigwedge -\end{tabular} - -\section{Log-like Operators} - -\begin{tabular}{*8l} -\Z\arccos &\Z\cos &\Z\csc &\Z\exp & - \Z\ker &\Z\limsup &\Z\min &\Z\sinh \\ -\Z\arcsin &\Z\cosh &\Z\deg &\Z\gcd & - \Z\lg &\Z\ln &\Z\Pr &\Z\sup \\ -\Z\arctan &\Z\cot &\Z\det &\Z\hom & - \Z\lim &\Z\log &\Z\sec &\Z\tan \\ -\Z\arg &\Z\coth &\Z\dim &\Z\inf & - \Z\liminf &\Z\max &\Z\sin &\Z\tanh -\end{tabular} - -\section{Delimiters} - -\begin{tabular}{*8l} -\X( &\X) &\X\uparrow &\X\Uparrow \\ -\X[ &\X] &\X\downarrow &\X\Downarrow \\ -\X\{ &\X\} &\X\updownarrow &\X\Updownarrow \\ -\X\lfloor &\X\rfloor &\X\lceil &\X\rceil \\ -\X\langle &\X\rangle &\X/ &\X\backslash \\ -\X| &\X\| -\end{tabular} - -\section{Large Delimiters} - -\begin{tabular}{*8l} -\Y\rmoustache& \Y\lmoustache& \Y\rgroup& \Y\lgroup\\[5pt] -\Y\arrowvert& \Y\Arrowvert& \Y\bracevert -\end{tabular} - -\section{Math Mode Accents} - -\begin{tabular}{*{10}l} -\W\hat{a} &\W\acute{a} &\W\bar{a} &\W\dot{a} &\W\breve{a}\\ -\W\check{a} &\W\grave{a} &\W\vec{a} &\W\ddot{a} &\W\tilde{a}\\ -\end{tabular} - -\section{Miscellaneous Constructions} - -\begin{tabular}{*4l} -\W\widetilde{abc} &\W\widehat{abc} \\ -\W\overleftarrow{abc} &\W\overrightarrow{abc} \\ -\W\overline{abc} &\W\underline{abc} \\ -\W\overbrace{abc} &\W\underbrace{abc} \\[5pt] -\W\sqrt{abc} &$\sqrt[n]{abc}$&\verb|\sqrt[n]{abc}| \\ -$f'$&\verb|f'| &$\frac{abc}{xyz}$&\verb|\frac{abc}{xyz}| -\end{tabular} - -\section{AMS Delimiters} - -\begin{tabular}{*8l} -\X\ulcorner&\X\urcorner&\X\llcorner&\X\lrcorner -\end{tabular} - -\section{AMS Arrows} - -\begin{tabular}{*8l} -\X\dashrightarrow &\X\dashleftarrow - \\ \X\leftleftarrows &\X\leftrightarrows \\ -\X\Lleftarrow &\X\twoheadleftarrow - \\ \X\leftarrowtail &\X\looparrowleft \\ -\X\leftrightharpoons &\X\curvearrowleft - \\ \X\circlearrowleft &\X\Lsh \\ -\X\upuparrows &\X\upharpoonleft - \\ \X\downharpoonleft &\X\multimap \\ -\X\leftrightsquigarrow &\X\rightrightarrows - \\ \X\rightleftarrows &\X\rightrightarrows \\ -\X\rightleftarrows &\X\twoheadrightarrow - \\ \X\rightarrowtail &\X\looparrowright \\ -\X\rightleftharpoons &\X\curvearrowright - \\ \X\circlearrowright &\X\Rsh \\ -\X\downdownarrows &\X\upharpoonright - \\ \X\downharpoonright &\X\rightsquigarrow -\end{tabular} - -\section{AMS Negated Arrows} - -\begin{tabular}{*8l} -\X\nleftarrow &\X\nrightarrow \\ \X\nLeftarrow &\X\nRightarrow \\ -\X\nleftrightarrow&\X\nLeftrightarrow -\end{tabular} - -\section{AMS Greek} - -\begin{tabular}{*4l} -\X\digamma &\X\varkappa -\end{tabular} - -\section{AMS Hebrew} - -\begin{tabular}{*6l} -\X\beth &\X\daleth &\X\gimel -\end{tabular} - -\section{AMS Miscellaneous} - -\begin{tabular}{*8l} -\X\hbar &\X\hslash \\ \X\vartriangle &\X\triangledown \\ -\X\square &\X\lozenge \\ \X\circledS &\X\angle \\ -\X\measuredangle&\X\nexists \\ \X\mho &\X\Finv$^u$ \\ -\X\Game$^u$ &\X\Bbbk$^u$ \\ \X\backprime &\X\varnothing \\ -\X\blacktriangle&\X\blacktriangledown \\ \X\blacksquare&\X\blacklozenge \\ -\X\bigstar &\X\sphericalangle \\ \X\complement &\X\eth \\ -\X\diagup$^u$ &\X\diagdown$^u$ -\end{tabular} - -$^u$ Not defined in {\tt amssymb.sty}, define using the -\verb|\newsymbol| command. - - - -\section{AMS Binary Operators} - -\begin{tabular}{*8l} -\X\dotplus &\X\smallsetminus \\ \X\Cap &\X\Cup \\ -\X\barwedge &\X\veebar \\ \X\doublebarwedge&\X\boxminus \\ -\X\boxtimes &\X\boxdot \\ \X\boxplus &\X\divideontimes \\ -\X\ltimes &\X\rtimes \\ \X\leftthreetimes&\X\rightthreetimes \\ -\X\curlywedge &\X\curlyvee \\ \X\circleddash &\X\circledast \\ -\X\circledcirc &\X\centerdot \\ \X\intercal -\end{tabular} - -\section{AMS Relations} - -\begin{tabular}{*2l} -\X\leqslant \\\X\lesssim \\ -\X\approxeq \\\X\lll \\ -\X\lesseqgtr \\\X\doteqdot \\ -\X\fallingdotseq\\\X\backsimeq \\ -\X\Subset \\\X\preccurlyeq\\ -\X\precsim \\\X\vartriangleleft\\ -\X\vDash \\\X\smallsmile \\ -\X\bumpeq \\\X\geqq \\ -\X\eqslantgtr \\\X\gtrapprox \\ -\X\ggg \\\X\gtreqless \\ -\X\eqcirc \\\X\triangleq \\ -\X\thickapprox \\\X\Supset \\ -\X\succcurlyeq \\\X\succsim \\ -\X\vartriangleright\\\X\Vdash \\ -\X\shortparallel\\\X\pitchfork \\ -\X\blacktriangleleft \\\X\backepsilon\\ -\X\because -\end{tabular} - -\section{AMS Negated Relations} -\begin{tabular}{*8l} -\X\nless &\X\nleq \\ \X\nleqslant &\X\nleqq \\ -\X\lneq &\X\lneqq \\ \X\lvertneqq &\X\lnsim \\ -\X\lnapprox &\X\nprec \\ \X\npreceq &\X\precnsim \\ -\X\precnapprox &\X\nsim \\ \X\nshortmid &\X\nmid \\ -\X\nvdash &\X\nvDash \\ \X\ntriangleleft&\X\ntrianglelefteq\\ -\X\nsubseteq &\X\subsetneq \\ \X\varsubsetneq&\X\subsetneqq \\ -\X\varsubsetneqq&\X\ngtr \\ \X\ngeq &\X\ngeqslant \\ -\X\ngeqq &\X\gneq \\ \X\gneqq &\X\gvertneqq \\ -\X\gnsim &\X\gnapprox \\ \X\nsucc &\X\nsucceq \\ -&nsucceqq &\X\succnsim \\ \X\succnapprox &\X\ncong \\ -\X\nshortparallel&\X\nparallel \\ \X\nvDash &\X\nVDash \\ -\X\ntriangleright&\X\ntrianglerighteq \\ \X\nsupseteq&\X\nsupseteqq\\ -\X\supsetneq &\X\varsupsetneq \\ \X\supsetneqq &\X\varsupsetneqq -\end{tabular} - -\end{document} - -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: - - -%%% NOT WORKING IN SANS MODE: -\mathcal -\mathbm \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest_kpfonts.pdf b/2_Math_Tests/Obsolete/mathtest_kpfonts.pdf deleted file mode 100644 index a348bab..0000000 Binary files a/2_Math_Tests/Obsolete/mathtest_kpfonts.pdf and /dev/null differ diff --git a/2_Math_Tests/Obsolete/mathtest_kpfonts.tex b/2_Math_Tests/Obsolete/mathtest_kpfonts.tex deleted file mode 100644 index f0f5dba..0000000 --- a/2_Math_Tests/Obsolete/mathtest_kpfonts.tex +++ /dev/null @@ -1,246 +0,0 @@ -\documentclass{article} - - -\usepackage[LGR, T1]{fontenc} -\usepackage[ngerman, english, USenglish]{babel} -\usepackage{blindtext} - -\usepackage[notext, nott, slantedGreeks]{kpfonts} % The "partialup" option conflicts with the mathdesign package -\batchmode % \widering is defined by kpfonts and then again by mathdesign -\let\widering\relax -\usepackage[charter, greeklowercase=italicized, greekuppercase=italicized]{mathdesign} -%\usepackage[sloped]{fourier} -%% When using the fourier package, make all uppercase Greek letters italic ==> -%\makeatletter -% \@for\@tempa:=% -% %alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% %pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Gamma,Delta,Theta,Lambda,Xi,Pi,Sigma,Upsilon,Phi,Psi,Omega% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname other\@tempa\endcsname}% -%\makeatother -%% <== - -\makeatletter -\let\savermmdseries\seriesdefault -\let\savermbfseries\bfdefault -\let\savermfamily\rmdefault -\makeatother - -%\errorstopmode - -\usepackage[book, semibold, lining, tabular]{FiraSans} -\newcommand{\savesffamily}{\sfdefault} -\makeatletter -\newcommand{\savesfmdseries}{\mdseries@sf} -\newcommand{\savesfbfseries}{\bfseries@sf} -\makeatother - -\usepackage[subdued, nominus, italic, itGreek, defaultmathsizes]{mathastext} -%%\usepackage[subdued, nominus, LGRgreek, italic, itGreek]{mathastext} % Leads to "Too many symbol fonts declared" error. -%%\Mathastextgreekfont{\savesffamily} -%\renewcommand{\familydefault}{\savesffamily} -%\renewcommand{\seriesdefault}{\savesfmdseries} -%\Mathastext[sf] -%\renewcommand{\seriesdefault}{\savesfbfseries} -%\Mathastext[boldsf] - -\makeatletter -\renewcommand{\rmdefault}{\savermfamily} -\renewcommand{\seriesdefault}{\savermmdseries} -\renewcommand{\bfdefault}{\savermbfseries} -\makeatother - -\newif\IfInSansMode -\newif\IfInBoldMode - -% Loading all these packages jointly eats up math alphabets in the "normal" mathversion. -% Avoid the "Too many math alphabets used in verison normal" error by -% relegating \mathcal and \mathfrak to a separate version. ==> -%\MathastextDeclareVersion[n]{calligraphic}{OMS}{xmdcmsy}{m}{n} -\let \mathcalaux \mathcal -\let \mathfrakaux \mathfrak -\renewcommand{\mathcal}[1]{% - \textnormal{\IfInSansMode\mathversion{normal}$\mathcalaux{#1}$\mathastextversion{sans}% - \else$\mathcalaux{#1}$% - \fi\relax}% -} -\renewcommand{\mathfrak}[1]{% - \textnormal{\IfInSansMode\mathversion{normal}$\mathfrakaux{#1}$\mathastextversion{sans}% - \else$\mathfrakaux{#1}$% - \fi\relax}% -} -% <== - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -% Fill in ``missing'' Greek glyphs for completeness (not really necessary, -% since they look identical to Latin glyphs and are thus almost never used) ==> -\newcommand{\omicron}{o} -\newcommand{\Digamma}{F} -\newcommand{\Alpha} {A} -\newcommand{\Beta} {B} -\newcommand{\Epsilon}{E} -\newcommand{\Zeta} {Z} -\newcommand{\Eta} {H} -\newcommand{\Iota} {I} -\newcommand{\Kappa} {K} -\newcommand{\Mu} {M} -\newcommand{\Nu} {N} -\newcommand{\Omicron}{O} -\newcommand{\Rho} {P} -\newcommand{\Tau} {T} -\newcommand{\Chi} {X} -% <== - -\newcommand{\renewgreekletters}{% - \renewcommand{\Alpha} {\textit{\fontencoding{LGR}\selectfont A}} - \renewcommand{\Beta} {\textit{\fontencoding{LGR}\selectfont B}} - \renewcommand{\Gamma} {\textit{\fontencoding{LGR}\selectfont G}} - \renewcommand{\Delta} {\textit{\fontencoding{LGR}\selectfont D}} - \renewcommand{\Epsilon} {\textit{\fontencoding{LGR}\selectfont E}} - \renewcommand{\Zeta} {\textit{\fontencoding{LGR}\selectfont Z}} - \renewcommand{\Eta} {\textit{\fontencoding{LGR}\selectfont H}} - \renewcommand{\Theta} {\textit{\fontencoding{LGR}\selectfont J}} - \renewcommand{\Iota} {\textit{\fontencoding{LGR}\selectfont I}} - \renewcommand{\Kappa} {\textit{\fontencoding{LGR}\selectfont K}} - \renewcommand{\Lambda} {\textit{\fontencoding{LGR}\selectfont L}} - \renewcommand{\Mu} {\textit{\fontencoding{LGR}\selectfont M}} - \renewcommand{\Nu} {\textit{\fontencoding{LGR}\selectfont N}} - \renewcommand{\Xi} {\textit{\fontencoding{LGR}\selectfont X}} - \renewcommand{\Omicron} {\textit{\fontencoding{LGR}\selectfont O}} - \renewcommand{\Pi} {\textit{\fontencoding{LGR}\selectfont P}} - \renewcommand{\Rho} {\textit{\fontencoding{LGR}\selectfont R}} - \renewcommand{\Sigma} {\textit{\fontencoding{LGR}\selectfont S}} - \renewcommand{\Tau} {\textit{\fontencoding{LGR}\selectfont T}} - \renewcommand{\Upsilon} {\textit{\fontencoding{LGR}\selectfont U}} - \renewcommand{\Phi} {\textit{\fontencoding{LGR}\selectfont F}} - \renewcommand{\Chi} {\textit{\fontencoding{LGR}\selectfont Q}} - \renewcommand{\Psi} {\textit{\fontencoding{LGR}\selectfont Y}} - \renewcommand{\Omega} {\textit{\fontencoding{LGR}\selectfont W}} - \renewcommand{\Digamma} {\textit{\fontencoding{LGR}\selectfont \char195}} - %%% 'lowercase' - \renewcommand{\alpha} {\textit{\fontencoding{LGR}\selectfont a}} - \renewcommand{\beta} {\textit{\fontencoding{LGR}\selectfont b}} - \renewcommand{\gamma} {\textit{\fontencoding{LGR}\selectfont g}} - \renewcommand{\delta} {\textit{\fontencoding{LGR}\selectfont d}} - \renewcommand{\epsilon} {\textit{\fontencoding{LGR}\selectfont e}} - \renewcommand{\zeta} {\textit{\fontencoding{LGR}\selectfont z}} - \renewcommand{\eta} {\textit{\fontencoding{LGR}\selectfont h}} - \renewcommand{\theta} {\textit{\fontencoding{LGR}\selectfont j}} - \renewcommand{\iota} {\textit{\fontencoding{LGR}\selectfont i}} - \renewcommand{\kappa} {\textit{\fontencoding{LGR}\selectfont k}} - \renewcommand{\lambda} {\textit{\fontencoding{LGR}\selectfont l}} - \renewcommand{\mu} {\textit{\fontencoding{LGR}\selectfont m}} - \renewcommand{\nu} {\textit{\fontencoding{LGR}\selectfont n}} - \renewcommand{\xi} {\textit{\fontencoding{LGR}\selectfont x}} - \renewcommand{\omicron} {\textit{\fontencoding{LGR}\selectfont o}} - \renewcommand{\pi} {\textit{\fontencoding{LGR}\selectfont p}} - \renewcommand{\rho} {\textit{\fontencoding{LGR}\selectfont r}} - \renewcommand{\sigma} {\textit{\fontencoding{LGR}\selectfont s}} - \renewcommand{\varsigma}{\textit{\fontencoding{LGR}\selectfont c}} - \renewcommand{\tau} {\textit{\fontencoding{LGR}\selectfont t}} - \renewcommand{\upsilon} {\textit{\fontencoding{LGR}\selectfont u}} - \renewcommand{\phi} {\textit{\fontencoding{LGR}\selectfont f}} - \renewcommand{\chi} {\textit{\fontencoding{LGR}\selectfont q}} - \renewcommand{\psi} {\textit{\fontencoding{LGR}\selectfont y}} - \renewcommand{\omega} {\textit{\fontencoding{LGR}\selectfont w}} - \renewcommand{\digamma} {\textit{\fontencoding{LGR}\selectfont \char147}} -} - -\frenchspacing - - -\begin{document} - - -\selectlanguage{english} - - -\savesffamily -\savesfmdseries -\savesfbfseries - -\section{Serif} - -\rmfamily\mdseries\mathversion{normal}% -\blindmathpaper - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of i.i.d. random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - - -\section{Serif Bold} - -\rmfamily\bfseries\mathversion{bold} -\blindmathpaper - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - - -\section{Sans Serif} - -\sffamily\mdseries\mathversion{sf}% -\renewgreekletters% -\blindmathpaper - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -\blindmathpaper - - -\section{Sans Serif Bold} - -\sffamily\bfseries\mathversion{boldsf} -\renewgreekletters% -\blindmathpaper - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\uppi}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -\blindmathpaper - -%\input{../mathtest_serif} -%\input{../mathtest_serifbold} -%\input{../mathtest_sans} -%\input{../mathtest_sansbold} - -\end{document} \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest_kpfonts_no_mathastext.pdf b/2_Math_Tests/Obsolete/mathtest_kpfonts_no_mathastext.pdf deleted file mode 100644 index fd18e2e..0000000 Binary files a/2_Math_Tests/Obsolete/mathtest_kpfonts_no_mathastext.pdf and /dev/null differ diff --git a/2_Math_Tests/Obsolete/mathtest_kpfonts_no_mathastext.tex b/2_Math_Tests/Obsolete/mathtest_kpfonts_no_mathastext.tex deleted file mode 100644 index 31adb5b..0000000 --- a/2_Math_Tests/Obsolete/mathtest_kpfonts_no_mathastext.tex +++ /dev/null @@ -1,329 +0,0 @@ -\documentclass{article} - - -\usepackage[LGR, OT1, T1]{fontenc} -\usepackage[ngerman, english, USenglish]{babel} -\usepackage{blindtext} - -\usepackage{xcolor} - -\usepackage{amsmath, amsfonts, amssymb} - -%\usepackage[notext, nott, slantedGreeks]{kpfonts} % The "partialup" option conflicts with the mathdesign package -%\batchmode % \widering is defined by kpfonts and then again by mathdesign -%\let\widering\relax -%\usepackage[charter, greeklowercase=italicized, greekuppercase=italicized]{mathdesign} -\usepackage[sloped]{fourier} -% When using the fourier package, make all uppercase Greek letters italic ==> -%\makeatletter -% \@for\@tempa:=% -% %alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% %pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Gamma,Delta,Theta,Lambda,Xi,Pi,Sigma,Upsilon,Phi,Psi,Omega% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname other\@tempa\endcsname}% -%\makeatother -\let \Gamma \otherGamma -\let \Delta \otherDelta -\let \Theta \otherTheta -\let \Lambda \otherLambda -\let \Xi \otherXi -\let \Pi \otherPi -\let \Sigma \otherSigma -\let \Upsilon \otherUpsilon -\let \Phi \otherPhi -\let \Psi \otherPsi -\let \Omega \otherOmega -% <== -\usepackage[p, sups, scaled=0.979, space=1.045]{erewhon} % Utopia with proportional lining figures as text font; scaled and spaced to math the Utiopa from the fourier package. - -\let \alphaup \otheralpha - -\newcommand{\mathbfit}[1]{\mathbf{\mathit{#1}}} - -\usepackage{mathrsfs} % Provides \mathscr - -\makeatletter -\let\savermmdseries\seriesdefault -\let\savermbfseries\bfdefault -\let\savermfamily\rmdefault -\makeatother - -%\errorstopmode - -\usepackage[book, semibold, lining, tabular]{FiraSans} -\newcommand{\savesffamily}{\sfdefault} -\makeatletter -\newcommand{\savesfmdseries}{\mdseries@sf} -\newcommand{\savesfbfseries}{\bfseries@sf} -\makeatother - -% Take letters from Fira Sans in sans mathversion --> -%\DeclareMathVersion{sans} -%\DeclareSymbolFont{lettersfira} {T1}{\savesffamily}{\savesfmdseries}{n} -%\DeclareSymbolFont{letterssfit} {T1}{\savesffamily}{\savesfmdseries}{it} -%\DeclareSymbolFont{lettersboldsf} {T1}{\savesffamily}{\savesfbfseries}{n} -%\DeclareSymbolFont{lettersboldsfit}{T1}{\savesffamily}{\savesfbfseries}{n} -%\SetSymbolFont{operators}{sf}{T1}{\savesffamily}{\savesfmdseries}{n} -%\SetSymbolFont{letters}{sf}{T1}{\savesffamily}{\savesfmdseries}{it}% -%\SetSymbolFont{largesymbols}{sans}{OMX}{mdbch}{m}{n}% -%\SetSymbolFont{symbols} {sansbold}{OMS}{mdbch}{b}{n}% -%\SetSymbolFont{largesymbols}{sansbold}{OMX}{mdbch}{b}{n}% - -%\usepackage{lmodern} - -\DeclareMathVersion{sf} -%\SetSymbolFont{operators}{sf}{OT1}{cmbr}{m}{n} -%\SetSymbolFont{letters}{sf}{OT1}{\savesffamily}{\savesfmdseries}{it} - -\SetSymbolFont{symbols}{sf}{OMS}{cmbrs}{m}{n} -%\SetMathAlphabet{\mathit}{sf}{OT1}{cmbr}{m}{sl} -%\SetMathAlphabet{\mathbf}{sf}{OT1}{cmbr}{bx}{n} -%\SetMathAlphabet{\mathtt}{sf}{OT1}{cmtl}{m}{n} -%\SetSymbolFont{largesymbols}{sf}{OMX}{iwona}{m}{n} -%\SetMathAlphabet{\mathsf}{bold}{OT1}{jkpss}{b}{n} -%\SetMathAlphabet{\mathsf}{sf}{OT1}{jkpss}{m}{n} -%\SetMathAlphabet{\mathsf}{boldrm}{OT1}{jkpss}{b}{n} -%\SetMathAlphabet{\mathsf}{sf}{OT1}{jkpss}{m}{n} -%\SetMathAlphabet{\mathsf}{boldsf}{OT1}{jkpss}{b}{n} -%\SetSymbolFont{operators}{bold}{OT1}{jkpss}{b}{n} -\DeclareMathVersion{boldsf} - - - -\newif\IfInSansMode -\newif\IfInBoldMode - -%% Loading all these packages jointly eats up math alphabets in the "normal" mathversion. -%% Avoid the "Too many math alphabets used in verison normal" error by -%% relegating \mathcal and \mathfrak to a separate version. ==> -%%\MathastextDeclareVersion[n]{calligraphic}{OMS}{xmdcmsy}{m}{n} -%\let \mathcalaux \mathcal -%\let \mathfrakaux \mathfrak -%\renewcommand{\mathcal}[1]{% -% \textnormal{\IfInSansMode\mathversion{normal}$\mathcalaux{#1}$\mathastextversion{sans}% -% \else$\mathcalaux{#1}$% -% \fi\relax}% -%} -%\renewcommand{\mathfrak}[1]{% -% \textnormal{\IfInSansMode\mathversion{normal}$\mathfrakaux{#1}$\mathastextversion{sans}% -% \else$\mathfrakaux{#1}$% -% \fi\relax}% -%} -%% <== - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -% Fill in ``missing'' Greek glyphs for completeness (not really necessary, -% since they look identical to Latin glyphs and are thus almost never used) ==> -\newcommand{\omicron}{o} -\newcommand{\Digamma}{F} -\newcommand{\Alpha} {A} -\newcommand{\Beta} {B} -\newcommand{\Epsilon}{E} -\newcommand{\Zeta} {Z} -\newcommand{\Eta} {H} -\newcommand{\Iota} {I} -\newcommand{\Kappa} {K} -\newcommand{\Mu} {M} -\newcommand{\Nu} {N} -\newcommand{\Omicron}{O} -\newcommand{\Rho} {P} -\newcommand{\Tau} {T} -\newcommand{\Chi} {X} -% <== - -\newcommand{\renewgreekletters}{% - \renewcommand{\Alpha} {\textit{\fontencoding{LGR}\selectfont A}} - \renewcommand{\Beta} {\textit{\fontencoding{LGR}\selectfont B}} - \renewcommand{\Gamma} {\textit{\fontencoding{LGR}\selectfont G}} - \renewcommand{\Delta} {\textit{\fontencoding{LGR}\selectfont D}} - \renewcommand{\Epsilon} {\textit{\fontencoding{LGR}\selectfont E}} - \renewcommand{\Zeta} {\textit{\fontencoding{LGR}\selectfont Z}} - \renewcommand{\Eta} {\textit{\fontencoding{LGR}\selectfont H}} - \renewcommand{\Theta} {\textit{\fontencoding{LGR}\selectfont J}} - \renewcommand{\Iota} {\textit{\fontencoding{LGR}\selectfont I}} - \renewcommand{\Kappa} {\textit{\fontencoding{LGR}\selectfont K}} - \renewcommand{\Lambda} {\textit{\fontencoding{LGR}\selectfont L}} - \renewcommand{\Mu} {\textit{\fontencoding{LGR}\selectfont M}} - \renewcommand{\Nu} {\textit{\fontencoding{LGR}\selectfont N}} - \renewcommand{\Xi} {\textit{\fontencoding{LGR}\selectfont X}} - \renewcommand{\Omicron} {\textit{\fontencoding{LGR}\selectfont O}} - \renewcommand{\Pi} {\textit{\fontencoding{LGR}\selectfont P}} - \renewcommand{\Rho} {\textit{\fontencoding{LGR}\selectfont R}} - \renewcommand{\Sigma} {\textit{\fontencoding{LGR}\selectfont S}} - \renewcommand{\Tau} {\textit{\fontencoding{LGR}\selectfont T}} - \renewcommand{\Upsilon} {\textit{\fontencoding{LGR}\selectfont U}} - \renewcommand{\Phi} {\textit{\fontencoding{LGR}\selectfont F}} - \renewcommand{\Chi} {\textit{\fontencoding{LGR}\selectfont Q}} - \renewcommand{\Psi} {\textit{\fontencoding{LGR}\selectfont Y}} - \renewcommand{\Omega} {\textit{\fontencoding{LGR}\selectfont W}} - \renewcommand{\Digamma} {\textit{\fontencoding{LGR}\selectfont \char195}} - %%% 'lowercase' - \renewcommand{\alpha} {\textit{\fontencoding{LGR}\selectfont a}} - \renewcommand{\beta} {\textit{\fontencoding{LGR}\selectfont b}} - \renewcommand{\gamma} {\textit{\fontencoding{LGR}\selectfont g}} - \renewcommand{\delta} {\textit{\fontencoding{LGR}\selectfont d}} - \renewcommand{\epsilon} {\textit{\fontencoding{LGR}\selectfont e}} - \renewcommand{\zeta} {\textit{\fontencoding{LGR}\selectfont z}} - \renewcommand{\eta} {\textit{\fontencoding{LGR}\selectfont h}} - \renewcommand{\theta} {\textit{\fontencoding{LGR}\selectfont j}} - \renewcommand{\iota} {\textit{\fontencoding{LGR}\selectfont i}} - \renewcommand{\kappa} {\textit{\fontencoding{LGR}\selectfont k}} - \renewcommand{\lambda} {\textit{\fontencoding{LGR}\selectfont l}} - \renewcommand{\mu} {\textit{\fontencoding{LGR}\selectfont m}} - \renewcommand{\nu} {\textit{\fontencoding{LGR}\selectfont n}} - \renewcommand{\xi} {\textit{\fontencoding{LGR}\selectfont x}} - \renewcommand{\omicron} {\textit{\fontencoding{LGR}\selectfont o}} - \renewcommand{\pi} {\textit{\fontencoding{LGR}\selectfont p}} - \renewcommand{\rho} {\textit{\fontencoding{LGR}\selectfont r}} - \renewcommand{\sigma} {\textit{\fontencoding{LGR}\selectfont s}} - \renewcommand{\varsigma}{\textit{\fontencoding{LGR}\selectfont c}} - \renewcommand{\tau} {\textit{\fontencoding{LGR}\selectfont t}} - \renewcommand{\upsilon} {\textit{\fontencoding{LGR}\selectfont u}} - \renewcommand{\phi} {\textit{\fontencoding{LGR}\selectfont f}} - \renewcommand{\chi} {\textit{\fontencoding{LGR}\selectfont q}} - \renewcommand{\psi} {\textit{\fontencoding{LGR}\selectfont y}} - \renewcommand{\omega} {\textit{\fontencoding{LGR}\selectfont w}} - \renewcommand{\digamma} {\textit{\fontencoding{LGR}\selectfont \char147}} -} -\renewcommand{\renewgreekletters}{} - -\frenchspacing - -% An auxiliary command to display the current font settings --> -\makeatletter -\newcommand{\showfont}{{% - \color{magenta} - \textit{Encoding:} \f@encoding{}, - \textit{family:} \f@family{}, - \textit{series:} \f@series{}, - \textit{shape:} \f@shape{}, - \textit{size:} \f@size{}. -}} -\makeatother -% <-- - -\makeatletter -\newcommand*{\checkgreekletters}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% - Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{$\csname\@tempa\endcsname,$ }% -} -\makeatother - -\input{../mathtest_preamble} - - - -%%%%%%%%%%%%%%%%%%%%%%% -%% DOCUMENT BEGINS %% -%%%%%%%%%%%%%%%%%%%%%%% - - -\begin{document} - - -\selectlanguage{english} - -\section{Saved for sans math} -\noindent -\savesffamily\ -\savesfmdseries\ -\savesfbfseries - -{\Huge $x$\textit{x}$f$\textit{f}$B$\textit{B}} - -\noindent Should match the size. - - -\section{Serif} - -\rmfamily\mdseries\mathversion{normal}% -%\blindmathpaper -\newcommand{\coloneq}{:=} -\newcommand{\mathup}[1]{\mathrm{#1}} - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of i.i.d. random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - - -\section{Serif Bold} - -\rmfamily\bfseries\mathversion{bold} -\blindmathpaper - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - - -\section{Sans Serif} - -\sffamily\mdseries\mathversion{sf}% -\renewgreekletters% -\blindmathpaper - -\mathversion{sf}% -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -\blindmathpaper - - -\section{Sans Serif Bold} - -\sffamily\bfseries\mathversion{boldsf} -\renewgreekletters% -\blindmathpaper - -\textbf{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -\blindmathpaper - -\input{../mathtest_serif} -%\input{../mathtest_serifbold} -%\input{../mathtest_sans} -%\input{../mathtest_sansbold} - - -\end{document} \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest_sans.tex b/2_Math_Tests/Obsolete/mathtest_sans.tex deleted file mode 100644 index 413a813..0000000 --- a/2_Math_Tests/Obsolete/mathtest_sans.tex +++ /dev/null @@ -1,982 +0,0 @@ -\renewcommand{\showfamily}{{% - \color{magenta}% - Sans serif% -}} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\section{\showfamily} - -\subsection{Overview \showfamily} - -Default: $a \alpha b \beta G \Gamma P \Pi \alpha \beta$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alphaup b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ - -\bigskip - -{\sffamily -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - -\bigskip - -{\sffamily\bfseries - -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - - -\subsection{Formulas \showfamily} - -\noindent -\checkgreekletters - -\noindent -{\boldmath\checkgreekletters} - -\noindent -{\sffamily\selectfont \checkgreekletters} - -\noindent -{\sffamily\bfseries\selectfont \checkgreekletters} - -\noindent -{\sffamily $\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$} - -\noindent -$\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$ - -$s \pm 3 \gamma + y - 1 = 4 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ - -\noindent -{\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - - -\subsection{Math Alphabets \showfamily} - -%\sffamily\selectfont - -Default -\def\test#1{#1,} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Normal (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\mathit{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Caligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Script (\texttt{\string\mathscr}) -\def\test#1{\mathscr{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Fraktur (\texttt{\string\mathfrak}) -\def\test#1{\mathfrak{#1},} -\begin{eqnarray*} - && {\testupper}\\ - && {\testlower} -\end{eqnarray*}% - -Blackboard Bold (\texttt{\string\mathbb}) -\def\test#1{\mathbb{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -\subsection{Character Sidebearings \showfamily} - -Default -\def\test#1{|#1|+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{|\mathrm{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{|\mathbm{#1}|+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{|\mathbf{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{|\mathcal{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Superscript Positioning \showfamily} - -Default -\def\test#1{#1^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}^{2}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Subscript Positioning \showfamily} - -Default -\def\test#1{\mathnormal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Bold Italic (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}_{i}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Accent Positioning \showfamily} - -Default -\def\test#1{\hat{#1}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\hat{\mathit{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri} \test\ell \test\wp \test\imath \test\jmath \tilde{i} \\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\hat{\mathrm{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\hat{\mathbm{#1}}+{}}% -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\hat{\mathbf{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\hat{\mathcal{#1}}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Differentials \showfamily} - -\begin{eqnarray*} -\gdef\test#1{\dit #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dit \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\dup #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dup \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\partial #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - -\subsection{Slash Kerning \showfamily} - -\def\test#1{1/#1+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - -\subsection{Big Operators \showfamily} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\subsection{Radicals \showfamily} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\subsection{Over- and Underbraces \showfamily} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\subsection{Normal and Wide Accents \showfamily} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - -\begin{displaymath} - \hat{x} \quad - \check{x} \quad - \tilde{x} \quad - \acute{x} \quad - \grave{x} \quad - \dot{x} \quad - \ddot{x} \quad - \breve{x} \quad - \bar{x} \quad - \vec{x} \quad -\end{displaymath} - - -\subsection{Long Arrows \showfamily} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\subsection{Left and Right Delimiters \showfamily} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -Using {\tt\string\left} and {\tt\string\right}. -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - -\subsection{Big-g-g Delimiters \showfamily} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - -\def\X#1{$x #1 y$ &\tt\string#1} -\def\Y#1{$\big#1$ &\tt\string#1} -\def\Z#1{$x #1 y$} -\def\W#1#2{$#1{#2}$ &\tt\string#1\string{#2\string}} - - -\subsection{Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\pm &\X\cap &\X\diamond &\X\oplus \\ -\X\mp &\X\cup &\X\bigtriangleup &\X\ominus \\ -\X\times &\X\uplus &\X\bigtriangledown &\X\otimes \\ -\X\div &\X\sqcap &\X\triangleleft &\X\oslash \\ -\X\ast &\X\sqcup &\X\triangleright &\X\odot \\ -\X\star &\X\vee &\X\lhd &\X\bigcirc \\ -\X\circ &\X\wedge &\X\rhd &\X\dagger \\ -\X\bullet &\X\setminus &\X\unlhd &\X\ddagger \\ -\X\cdot &\X\wr &\X\unrhd &\X\S \\ -\X+ &\X- &\X\amalg &\X\P -\end{tabular} - - -\subsection{Relations \showfamily} - -\begin{tabular}{*8l} -\X\leq &\X\geq &\X\equiv &\X\models \\ -\X\prec &\X\succ &\X\sim &\X\perp \\ -\X\preceq &\X\succeq &\X\simeq &\X\mid \\ -\X\ll &\X\gg &\X\asymp &\X\parallel \\ -\X\subset &\X\supset &\X\approx &\X\bowtie \\ -\X\subseteq &\X\supseteq &\X\cong &\X\Join \\ -\X\sqsubset &\X\sqsupset &\X\neq &\X\smile \\ -\X\sqsubseteq &\X\sqsupseteq &\X\doteq &\X\frown \\ -\X\in &\X\ni &\X\propto &\X= \\ -\X\vdash &\X\dashv &\X< &\X> \\ -\X: -\end{tabular} - - -\subsection{Punctuation \showfamily} - -\begin{tabular}{*{5}{lp{3.2em}}} -\X, &\X; &\X\colon &\X\ldotp &\X\cdotp -\end{tabular} - - -\subsection{Arrows \showfamily} - -\begin{tabular}{*6l} -\X\leftarrow &\X\longleftarrow &\X\uparrow \\ -\X\Leftarrow &\X\Longleftarrow &\X\Uparrow \\ -\X\rightarrow &\X\longrightarrow &\X\downarrow \\ -\X\Rightarrow &\X\Longrightarrow &\X\Downarrow \\ -\X\leftrightarrow &\X\longleftrightarrow &\X\updownarrow \\ -\X\Leftrightarrow &\X\Longleftrightarrow &\X\Updownarrow \\ -\X\mapsto &\X\longmapsto &\X\nearrow \\ -\X\hookleftarrow &\X\hookrightarrow &\X\searrow \\ -\X\leftharpoonup &\X\rightharpoonup &\X\swarrow \\ -\X\leftharpoondown &\X\rightharpoondown &\X\nwarrow \\ -\X\rightleftharpoons &\X\leadsto -\end{tabular} - - -\subsection{Miscellaneous Symbols \showfamily} - -\begin{tabular}{*8l} -\X\ldots &\X\cdots &\X\vdots &\X\ddots \\ -\X\aleph &\X\prime &\X\forall &\X\infty \\ -\X\hbar &\X\emptyset &\X\exists &\X\Box \\ -\X\imath &\X\nabla &\X\neg &\X\Diamond \\ -\X\jmath &\X\surd &\X\flat &\X\triangle \\ -\X\ell &\X\top &\X\natural &\X\clubsuit \\ -\X\wp &\X\bot &\X\sharp &\X\diamondsuit \\ -\X\Re &\X\| &\X\backslash &\X\heartsuit \\ -\X\Im &\X\angle &\X\partial &\X\spadesuit \\ -\X\mho &\X. &\X| &\X! -\end{tabular} - - -\subsection{Variable-Sized Operators \showfamily} - -\begin{tabular}{*6l} -\X\sum &\X\bigcap &\X\bigodot \\ -\X\prod &\X\bigcup &\X\bigotimes \\ -\X\coprod &\X\bigsqcup &\X\bigoplus \\ -\X\int &\X\bigvee &\X\biguplus \\ -\X\oint &\X\bigwedge -\end{tabular} - - -\subsection{Log-Like Operators \showfamily} - -\begin{tabular}{*8l} -\Z\arccos &\Z\cos &\Z\csc &\Z\exp & - \Z\ker &\Z\limsup &\Z\min &\Z\sinh \\ -\Z\arcsin &\Z\cosh &\Z\deg &\Z\gcd & - \Z\lg &\Z\ln &\Z\Pr &\Z\sup \\ -\Z\arctan &\Z\cot &\Z\det &\Z\hom & - \Z\lim &\Z\log &\Z\sec &\Z\tan \\ -\Z\arg &\Z\coth &\Z\dim &\Z\inf & - \Z\liminf &\Z\max &\Z\sin &\Z\tanh -\end{tabular} - - -\subsection{Delimiters \showfamily} - -\begin{tabular}{*8l} -\X( &\X) &\X\uparrow &\X\Uparrow \\ -\X[ &\X] &\X\downarrow &\X\Downarrow \\ -\X\{ &\X\} &\X\updownarrow &\X\Updownarrow \\ -\X\lfloor &\X\rfloor &\X\lceil &\X\rceil \\ -\X\langle &\X\rangle &\X/ &\X\backslash \\ -\X| &\X\| -\end{tabular} - - -\subsection{Large Delimiters \showfamily} - -\begin{tabular}{*8l} -\Y\rmoustache& \Y\lmoustache& \Y\rgroup& \Y\lgroup\\[5pt] -\Y\arrowvert& \Y\Arrowvert& \Y\bracevert -\end{tabular} - - -\subsection{Math Mode Accents \showfamily} - -\begin{tabular}{*{10}l} -\W\hat{a} &\W\acute{a} &\W\bar{a} &\W\dot{a} &\W\breve{a}\\ -\W\check{a} &\W\grave{a} &\W\vec{a} &\W\ddot{a} &\W\tilde{a}\\ -\end{tabular} - - -\subsection{Miscellaneous Constructions \showfamily} - -\begin{tabular}{*4l} -\W\widetilde{abc} &\W\widehat{abc} \\ -\W\overleftarrow{abc} &\W\overrightarrow{abc} \\ -\W\overline{abc} &\W\underline{abc} \\ -\W\overbrace{abc} &\W\underbrace{abc} \\[5pt] -\W\sqrt{abc} &$\sqrt[n]{abc}$&\verb|\sqrt[n]{abc}| \\ -$f'$&\verb|f'| &$\frac{abc}{xyz}$&\verb|\frac{abc}{xyz}| -\end{tabular} - - -\subsection{AMS Delimiters \showfamily} - -\begin{tabular}{*8l} -\X\ulcorner&\X\urcorner&\X\llcorner&\X\lrcorner -\end{tabular} - - -\subsection{AMS Arrows \showfamily} - -\begin{tabular}{*8l} -\X\dashrightarrow &\X\dashleftarrow - \\ \X\leftleftarrows &\X\leftrightarrows \\ -\X\Lleftarrow &\X\twoheadleftarrow - \\ \X\leftarrowtail &\X\looparrowleft \\ -\X\leftrightharpoons &\X\curvearrowleft - \\ \X\circlearrowleft &\X\Lsh \\ -\X\upuparrows &\X\upharpoonleft - \\ \X\downharpoonleft &\X\multimap \\ -\X\leftrightsquigarrow &\X\rightrightarrows - \\ \X\rightleftarrows &\X\rightrightarrows \\ -\X\rightleftarrows &\X\twoheadrightarrow - \\ \X\rightarrowtail &\X\looparrowright \\ -\X\rightleftharpoons &\X\curvearrowright - \\ \X\circlearrowright &\X\Rsh \\ -\X\downdownarrows &\X\upharpoonright - \\ \X\downharpoonright &\X\rightsquigarrow -\end{tabular} - - -\subsection{AMS Negated Arrows \showfamily} - -\begin{tabular}{*8l} -\X\nleftarrow &\X\nrightarrow \\ \X\nLeftarrow &\X\nRightarrow \\ -\X\nleftrightarrow&\X\nLeftrightarrow -\end{tabular} - - -\subsection{AMS Greek \showfamily} - -\begin{tabular}{*4l} -\X\digamma &\X\varkappa -\end{tabular} - - -\subsection{AMS Hebrew \showfamily} - -\begin{tabular}{*6l} -\X\beth &\X\daleth &\X\gimel -\end{tabular} - - -\subsection{AMS Miscellaneous \showfamily} - -\begin{tabular}{*8l} -\X\hbar &\X\hslash \\ \X\vartriangle &\X\triangledown \\ -\X\square &\X\lozenge \\ \X\circledS &\X\angle \\ -\X\measuredangle&\X\nexists \\ \X\mho &\X\Finv$^u$ \\ -\X\Game$^u$ &\X\Bbbk$^u$ \\ \X\backprime &\X\varnothing \\ -\X\blacktriangle&\X\blacktriangledown \\ \X\blacksquare&\X\blacklozenge \\ -\X\bigstar &\X\sphericalangle \\ \X\complement &\X\eth \\ -\X\diagup$^u$ &\X\diagdown$^u$ -\end{tabular} - -$^u$ Not defined in {\tt amssymb.sty}, define using the -\verb|\newsymbol| command. - - -\subsection{AMS Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\dotplus &\X\smallsetminus \\ \X\Cap &\X\Cup \\ -\X\barwedge &\X\veebar \\ \X\doublebarwedge&\X\boxminus \\ -\X\boxtimes &\X\boxdot \\ \X\boxplus &\X\divideontimes \\ -\X\ltimes &\X\rtimes \\ \X\leftthreetimes&\X\rightthreetimes \\ -\X\curlywedge &\X\curlyvee \\ \X\circleddash &\X\circledast \\ -\X\circledcirc &\X\centerdot \\ \X\intercal -\end{tabular} - - -\subsection{AMS Relations \showfamily} - -\begin{tabular}{*2l} -\X\leqslant \\\X\lesssim \\ -\X\approxeq \\\X\lll \\ -\X\lesseqgtr \\\X\doteqdot \\ -\X\fallingdotseq\\\X\backsimeq \\ -\X\Subset \\\X\preccurlyeq\\ -\X\precsim \\\X\vartriangleleft\\ -\X\vDash \\\X\smallsmile \\ -\X\bumpeq \\\X\geqq \\ -\X\eqslantgtr \\\X\gtrapprox \\ -\X\ggg \\\X\gtreqless \\ -\X\eqcirc \\\X\triangleq \\ -\X\thickapprox \\\X\Supset \\ -\X\succcurlyeq \\\X\succsim \\ -\X\vartriangleright\\\X\Vdash \\ -\X\shortparallel\\\X\pitchfork \\ -\X\blacktriangleleft \\\X\backepsilon\\ -\X\because -\end{tabular} - - -\subsection{AMS Negated Relations \showfamily} - -\begin{tabular}{*8l} -\X\nless &\X\nleq \\ \X\nleqslant &\X\nleqq \\ -\X\lneq &\X\lneqq \\ \X\lvertneqq &\X\lnsim \\ -\X\lnapprox &\X\nprec \\ \X\npreceq &\X\precnsim \\ -\X\precnapprox &\X\nsim \\ \X\nshortmid &\X\nmid \\ -\X\nvdash &\X\nvDash \\ \X\ntriangleleft&\X\ntrianglelefteq\\ -\X\nsubseteq &\X\subsetneq \\ \X\varsubsetneq&\X\subsetneqq \\ -\X\varsubsetneqq&\X\ngtr \\ \X\ngeq &\X\ngeqslant \\ -\X\ngeqq &\X\gneq \\ \X\gneqq &\X\gvertneqq \\ -\X\gnsim &\X\gnapprox \\ \X\nsucc &\X\nsucceq \\ -\X\nsucceqq &\X\succnsim \\ \X\succnapprox &\X\ncong \\ -\X\nshortparallel&\X\nparallel \\ \X\nvDash &\X\nVDash \\ -\X\ntriangleright&\X\ntrianglerighteq \\ \X\nsupseteq&\X\nsupseteqq\\ -\X\supsetneq &\X\varsupsetneq \\ \X\supsetneqq &\X\varsupsetneqq -\end{tabular} - - -} \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest_sansbold.tex b/2_Math_Tests/Obsolete/mathtest_sansbold.tex deleted file mode 100644 index 55df76e..0000000 --- a/2_Math_Tests/Obsolete/mathtest_sansbold.tex +++ /dev/null @@ -1,970 +0,0 @@ -\section{\showfamily} - -\subsection{Overview \showfamily} - -Default: $a \alpha b \beta G \Gamma P \Pi \alpha \beta$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alphaup b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ - -\bigskip - -{\sffamily -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - -\bigskip - -{\sffamily\bfseries - -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - - -\subsection{Formulas \showfamily} - -\noindent -\checkgreekletters - -\noindent -{\boldmath\checkgreekletters} - -\noindent -{\sffamily\selectfont \checkgreekletters} - -\noindent -{\sffamily\bfseries\selectfont \checkgreekletters} - -\noindent -{\sffamily $\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$} - -\noindent -$\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$ - -$s \pm 3 \gamma + y - 1 = 4 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ - -\noindent -{\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - - -\subsection{Math Alphabets \showfamily} - -%\sffamily\selectfont - -Default -\def\test#1{#1,} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Normal (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\mathit{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Caligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Script (\texttt{\string\mathscr}) -\def\test#1{\mathscr{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Fraktur (\texttt{\string\mathfrak}) -\def\test#1{\mathfrak{#1},} -\begin{eqnarray*} - && {\testupper}\\ - && {\testlower} -\end{eqnarray*}% - -Blackboard Bold (\texttt{\string\mathbb}) -\def\test#1{\mathbb{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -\subsection{Character Sidebearings \showfamily} - -Default -\def\test#1{|#1|+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{|\mathrm{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{|\mathbm{#1}|+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{|\mathbf{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{|\mathcal{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Superscript Positioning \showfamily} - -Default -\def\test#1{#1^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}^{2}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Subscript Positioning \showfamily} - -Default -\def\test#1{\mathnormal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Bold Italic (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}_{i}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Accent Positioning \showfamily} - -Default -\def\test#1{\hat{#1}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\hat{\mathit{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri} \test\ell \test\wp \test\imath \test\jmath \tilde{i} \\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\hat{\mathrm{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\hat{\mathbm{#1}}+{}}% -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\hat{\mathbf{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\hat{\mathcal{#1}}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Differentials \showfamily} - -\begin{eqnarray*} -\gdef\test#1{\dit #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dit \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\dup #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dup \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\partial #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - -\subsection{Slash Kerning \showfamily} - -\def\test#1{1/#1+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - -\subsection{Big Operators \showfamily} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\subsection{Radicals \showfamily} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\subsection{Over- and Underbraces \showfamily} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\subsection{Normal and Wide Accents \showfamily} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - -\begin{displaymath} - \hat{x} \quad - \check{x} \quad - \tilde{x} \quad - \acute{x} \quad - \grave{x} \quad - \dot{x} \quad - \ddot{x} \quad - \breve{x} \quad - \bar{x} \quad - \vec{x} \quad -\end{displaymath} - - -\subsection{Long Arrows \showfamily} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\subsection{Left and Right Delimiters \showfamily} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -Using {\tt\string\left} and {\tt\string\right}. -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - -\subsection{Big-g-g Delimiters \showfamily} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - -\def\X#1{$x #1 y$ &\tt\string#1} -\def\Y#1{$\big#1$ &\tt\string#1} -\def\Z#1{$x #1 y$} -\def\W#1#2{$#1{#2}$ &\tt\string#1\string{#2\string}} - - -\subsection{Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\pm &\X\cap &\X\diamond &\X\oplus \\ -\X\mp &\X\cup &\X\bigtriangleup &\X\ominus \\ -\X\times &\X\uplus &\X\bigtriangledown &\X\otimes \\ -\X\div &\X\sqcap &\X\triangleleft &\X\oslash \\ -\X\ast &\X\sqcup &\X\triangleright &\X\odot \\ -\X\star &\X\vee &\X\lhd &\X\bigcirc \\ -\X\circ &\X\wedge &\X\rhd &\X\dagger \\ -\X\bullet &\X\setminus &\X\unlhd &\X\ddagger \\ -\X\cdot &\X\wr &\X\unrhd &\X\S \\ -\X+ &\X- &\X\amalg &\X\P -\end{tabular} - - -\subsection{Relations \showfamily} - -\begin{tabular}{*8l} -\X\leq &\X\geq &\X\equiv &\X\models \\ -\X\prec &\X\succ &\X\sim &\X\perp \\ -\X\preceq &\X\succeq &\X\simeq &\X\mid \\ -\X\ll &\X\gg &\X\asymp &\X\parallel \\ -\X\subset &\X\supset &\X\approx &\X\bowtie \\ -\X\subseteq &\X\supseteq &\X\cong &\X\Join \\ -\X\sqsubset &\X\sqsupset &\X\neq &\X\smile \\ -\X\sqsubseteq &\X\sqsupseteq &\X\doteq &\X\frown \\ -\X\in &\X\ni &\X\propto &\X= \\ -\X\vdash &\X\dashv &\X< &\X> \\ -\X: -\end{tabular} - - -\subsection{Punctuation \showfamily} - -\begin{tabular}{*{5}{lp{3.2em}}} -\X, &\X; &\X\colon &\X\ldotp &\X\cdotp -\end{tabular} - - -\subsection{Arrows \showfamily} - -\begin{tabular}{*6l} -\X\leftarrow &\X\longleftarrow &\X\uparrow \\ -\X\Leftarrow &\X\Longleftarrow &\X\Uparrow \\ -\X\rightarrow &\X\longrightarrow &\X\downarrow \\ -\X\Rightarrow &\X\Longrightarrow &\X\Downarrow \\ -\X\leftrightarrow &\X\longleftrightarrow &\X\updownarrow \\ -\X\Leftrightarrow &\X\Longleftrightarrow &\X\Updownarrow \\ -\X\mapsto &\X\longmapsto &\X\nearrow \\ -\X\hookleftarrow &\X\hookrightarrow &\X\searrow \\ -\X\leftharpoonup &\X\rightharpoonup &\X\swarrow \\ -\X\leftharpoondown &\X\rightharpoondown &\X\nwarrow \\ -\X\rightleftharpoons &\X\leadsto -\end{tabular} - - -\subsection{Miscellaneous Symbols \showfamily} - -\begin{tabular}{*8l} -\X\ldots &\X\cdots &\X\vdots &\X\ddots \\ -\X\aleph &\X\prime &\X\forall &\X\infty \\ -\X\hbar &\X\emptyset &\X\exists &\X\Box \\ -\X\imath &\X\nabla &\X\neg &\X\Diamond \\ -\X\jmath &\X\surd &\X\flat &\X\triangle \\ -\X\ell &\X\top &\X\natural &\X\clubsuit \\ -\X\wp &\X\bot &\X\sharp &\X\diamondsuit \\ -\X\Re &\X\| &\X\backslash &\X\heartsuit \\ -\X\Im &\X\angle &\X\partial &\X\spadesuit \\ -\X\mho &\X. &\X| &\X! -\end{tabular} - - -\subsection{Variable-Sized Operators \showfamily} - -\begin{tabular}{*6l} -\X\sum &\X\bigcap &\X\bigodot \\ -\X\prod &\X\bigcup &\X\bigotimes \\ -\X\coprod &\X\bigsqcup &\X\bigoplus \\ -\X\int &\X\bigvee &\X\biguplus \\ -\X\oint &\X\bigwedge -\end{tabular} - - -\subsection{Log-Like Operators \showfamily} - -\begin{tabular}{*8l} -\Z\arccos &\Z\cos &\Z\csc &\Z\exp & - \Z\ker &\Z\limsup &\Z\min &\Z\sinh \\ -\Z\arcsin &\Z\cosh &\Z\deg &\Z\gcd & - \Z\lg &\Z\ln &\Z\Pr &\Z\sup \\ -\Z\arctan &\Z\cot &\Z\det &\Z\hom & - \Z\lim &\Z\log &\Z\sec &\Z\tan \\ -\Z\arg &\Z\coth &\Z\dim &\Z\inf & - \Z\liminf &\Z\max &\Z\sin &\Z\tanh -\end{tabular} - - -\subsection{Delimiters \showfamily} - -\begin{tabular}{*8l} -\X( &\X) &\X\uparrow &\X\Uparrow \\ -\X[ &\X] &\X\downarrow &\X\Downarrow \\ -\X\{ &\X\} &\X\updownarrow &\X\Updownarrow \\ -\X\lfloor &\X\rfloor &\X\lceil &\X\rceil \\ -\X\langle &\X\rangle &\X/ &\X\backslash \\ -\X| &\X\| -\end{tabular} - - -\subsection{Large Delimiters \showfamily} - -\begin{tabular}{*8l} -\Y\rmoustache& \Y\lmoustache& \Y\rgroup& \Y\lgroup\\[5pt] -\Y\arrowvert& \Y\Arrowvert& \Y\bracevert -\end{tabular} - - -\subsection{Math Mode Accents \showfamily} - -\begin{tabular}{*{10}l} -\W\hat{a} &\W\acute{a} &\W\bar{a} &\W\dot{a} &\W\breve{a}\\ -\W\check{a} &\W\grave{a} &\W\vec{a} &\W\ddot{a} &\W\tilde{a}\\ -\end{tabular} - - -\subsection{Miscellaneous Constructions \showfamily} - -\begin{tabular}{*4l} -\W\widetilde{abc} &\W\widehat{abc} \\ -\W\overleftarrow{abc} &\W\overrightarrow{abc} \\ -\W\overline{abc} &\W\underline{abc} \\ -\W\overbrace{abc} &\W\underbrace{abc} \\[5pt] -\W\sqrt{abc} &$\sqrt[n]{abc}$&\verb|\sqrt[n]{abc}| \\ -$f'$&\verb|f'| &$\frac{abc}{xyz}$&\verb|\frac{abc}{xyz}| -\end{tabular} - - -\subsection{AMS Delimiters \showfamily} - -\begin{tabular}{*8l} -\X\ulcorner&\X\urcorner&\X\llcorner&\X\lrcorner -\end{tabular} - - -\subsection{AMS Arrows \showfamily} - -\begin{tabular}{*8l} -\X\dashrightarrow &\X\dashleftarrow - \\ \X\leftleftarrows &\X\leftrightarrows \\ -\X\Lleftarrow &\X\twoheadleftarrow - \\ \X\leftarrowtail &\X\looparrowleft \\ -\X\leftrightharpoons &\X\curvearrowleft - \\ \X\circlearrowleft &\X\Lsh \\ -\X\upuparrows &\X\upharpoonleft - \\ \X\downharpoonleft &\X\multimap \\ -\X\leftrightsquigarrow &\X\rightrightarrows - \\ \X\rightleftarrows &\X\rightrightarrows \\ -\X\rightleftarrows &\X\twoheadrightarrow - \\ \X\rightarrowtail &\X\looparrowright \\ -\X\rightleftharpoons &\X\curvearrowright - \\ \X\circlearrowright &\X\Rsh \\ -\X\downdownarrows &\X\upharpoonright - \\ \X\downharpoonright &\X\rightsquigarrow -\end{tabular} - - -\subsection{AMS Negated Arrows \showfamily} - -\begin{tabular}{*8l} -\X\nleftarrow &\X\nrightarrow \\ \X\nLeftarrow &\X\nRightarrow \\ -\X\nleftrightarrow&\X\nLeftrightarrow -\end{tabular} - - -\subsection{AMS Greek \showfamily} - -\begin{tabular}{*4l} -\X\digamma &\X\varkappa -\end{tabular} - - -\subsection{AMS Hebrew \showfamily} - -\begin{tabular}{*6l} -\X\beth &\X\daleth &\X\gimel -\end{tabular} - - -\subsection{AMS Miscellaneous \showfamily} - -\begin{tabular}{*8l} -\X\hbar &\X\hslash \\ \X\vartriangle &\X\triangledown \\ -\X\square &\X\lozenge \\ \X\circledS &\X\angle \\ -\X\measuredangle&\X\nexists \\ \X\mho &\X\Finv$^u$ \\ -\X\Game$^u$ &\X\Bbbk$^u$ \\ \X\backprime &\X\varnothing \\ -\X\blacktriangle&\X\blacktriangledown \\ \X\blacksquare&\X\blacklozenge \\ -\X\bigstar &\X\sphericalangle \\ \X\complement &\X\eth \\ -\X\diagup$^u$ &\X\diagdown$^u$ -\end{tabular} - -$^u$ Not defined in {\tt amssymb.sty}, define using the -\verb|\newsymbol| command. - - -\subsection{AMS Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\dotplus &\X\smallsetminus \\ \X\Cap &\X\Cup \\ -\X\barwedge &\X\veebar \\ \X\doublebarwedge&\X\boxminus \\ -\X\boxtimes &\X\boxdot \\ \X\boxplus &\X\divideontimes \\ -\X\ltimes &\X\rtimes \\ \X\leftthreetimes&\X\rightthreetimes \\ -\X\curlywedge &\X\curlyvee \\ \X\circleddash &\X\circledast \\ -\X\circledcirc &\X\centerdot \\ \X\intercal -\end{tabular} - - -\subsection{AMS Relations \showfamily} - -\begin{tabular}{*2l} -\X\leqslant \\\X\lesssim \\ -\X\approxeq \\\X\lll \\ -\X\lesseqgtr \\\X\doteqdot \\ -\X\fallingdotseq\\\X\backsimeq \\ -\X\Subset \\\X\preccurlyeq\\ -\X\precsim \\\X\vartriangleleft\\ -\X\vDash \\\X\smallsmile \\ -\X\bumpeq \\\X\geqq \\ -\X\eqslantgtr \\\X\gtrapprox \\ -\X\ggg \\\X\gtreqless \\ -\X\eqcirc \\\X\triangleq \\ -\X\thickapprox \\\X\Supset \\ -\X\succcurlyeq \\\X\succsim \\ -\X\vartriangleright\\\X\Vdash \\ -\X\shortparallel\\\X\pitchfork \\ -\X\blacktriangleleft \\\X\backepsilon\\ -\X\because -\end{tabular} - - -\subsection{AMS Negated Relations \showfamily} - -\begin{tabular}{*8l} -\X\nless &\X\nleq \\ \X\nleqslant &\X\nleqq \\ -\X\lneq &\X\lneqq \\ \X\lvertneqq &\X\lnsim \\ -\X\lnapprox &\X\nprec \\ \X\npreceq &\X\precnsim \\ -\X\precnapprox &\X\nsim \\ \X\nshortmid &\X\nmid \\ -\X\nvdash &\X\nvDash \\ \X\ntriangleleft&\X\ntrianglelefteq\\ -\X\nsubseteq &\X\subsetneq \\ \X\varsubsetneq&\X\subsetneqq \\ -\X\varsubsetneqq&\X\ngtr \\ \X\ngeq &\X\ngeqslant \\ -\X\ngeqq &\X\gneq \\ \X\gneqq &\X\gvertneqq \\ -\X\gnsim &\X\gnapprox \\ \X\nsucc &\X\nsucceq \\ -\X\nsucceqq &\X\succnsim \\ \X\succnapprox &\X\ncong \\ -\X\nshortparallel&\X\nparallel \\ \X\nvDash &\X\nVDash \\ -\X\ntriangleright&\X\ntrianglerighteq \\ \X\nsupseteq&\X\nsupseteqq\\ -\X\supsetneq &\X\varsupsetneq \\ \X\supsetneqq &\X\varsupsetneqq -\end{tabular} \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest_serif.tex b/2_Math_Tests/Obsolete/mathtest_serif.tex deleted file mode 100644 index 1d2d822..0000000 --- a/2_Math_Tests/Obsolete/mathtest_serif.tex +++ /dev/null @@ -1,952 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\section{\showfamily} - -\subsection{Overview \showfamily} - -\newcommand{\mathalphabets}{% - \begin{tabular}{@{} p{0.2\textwidth} l @{}} - Default: & $a \alpha \alphaup b \beta G \Gamma P \Pi \alpha \beta$ \\ - mathnormal: & $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ \\ - mathrm: & $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi}$ \\ - mathup: & $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi}$ \\ - mathit: & $\mathit{a \alpha b \beta G \Gamma P \Pi}$ \\ - mathbf: & $\mathbf{a \alpha \alphaup b \beta G \Gamma P \Pi}$ \\ - mathbfit: & $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ - \end{tabular}% -} - -\sffamily\mdseries -\mathalphabets -\bigskip - -\sffamily\bfseries -\mathalphabets -\bigskip - -\rmfamily -\mathalphabets -\bigskip - -\bfseries -\mathalphabets -\bigskip - -\normalfont - -\subsection{Formulas \showfamily} - -\mathversion{normal} -\noindent -\checkgreekletters - -\noindent -{\boldmath\checkgreekletters} - -\noindent -{\sffamily\selectfont \checkgreekletters} - -\noindent -{\sffamily\bfseries\selectfont \checkgreekletters} - -\noindent -{\sffamily\selectfont $\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$} - -\noindent -$\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$ - -$s \pm 3 \gamma + y - 1 = 4 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ - -\noindent -{\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - - -\subsection{Math Alphabets \showfamily} - -%\sffamily\selectfont - -Default -\def\test#1{#1,} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Normal (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\mathit{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Caligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Script (\texttt{\string\mathscr}) -\def\test#1{\mathscr{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Fraktur (\texttt{\string\mathfrak}) -\def\test#1{\mathfrak{#1},} -\begin{eqnarray*} - && {\testupper}\\ - && {\testlower} -\end{eqnarray*}% - -Blackboard Bold (\texttt{\string\mathbb}) -\def\test#1{\mathbb{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -\subsection{Character Sidebearings \showfamily} - -Default -\def\test#1{|#1|+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{|\mathrm{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{|\mathbm{#1}|+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{|\mathbf{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{|\mathcal{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Superscript Positioning \showfamily} - -Default -\def\test#1{#1^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}^{2}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Subscript Positioning \showfamily} - -Default -\def\test#1{\mathnormal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Bold Italic (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}_{i}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Accent Positioning \showfamily} - -Default -\def\test#1{\hat{#1}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\hat{\mathit{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri} \test\ell \test\wp \test\imath \test\jmath \tilde{i} \\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\hat{\mathrm{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\hat{\mathbm{#1}}+{}}% -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\hat{\mathbf{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\hat{\mathcal{#1}}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Differentials \showfamily} - -\begin{eqnarray*} -\gdef\test#1{\dit #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dit \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\dup #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dup \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\partial #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - -\subsection{Slash Kerning \showfamily} - -\def\test#1{1/#1+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - -\subsection{Big Operators \showfamily} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\subsection{Radicals \showfamily} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\subsection{Over- and Underbraces \showfamily} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\subsection{Normal and Wide Accents \showfamily} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - -\begin{displaymath} - \hat{x} \quad - \check{x} \quad - \tilde{x} \quad - \acute{x} \quad - \grave{x} \quad - \dot{x} \quad - \ddot{x} \quad - \breve{x} \quad - \bar{x} \quad - \vec{x} \quad -\end{displaymath} - - -\subsection{Long Arrows \showfamily} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\subsection{Left and Right Delimiters \showfamily} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -Using {\tt\string\left} and {\tt\string\right}. -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - -\subsection{Big-g-g Delimiters \showfamily} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - -\def\X#1{$x #1 y$ &\tt\string#1} -\def\Y#1{$\big#1$ &\tt\string#1} -\def\Z#1{$x #1 y$} -\def\W#1#2{$#1{#2}$ &\tt\string#1\string{#2\string}} - - -\subsection{Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\pm &\X\cap &\X\diamond &\X\oplus \\ -\X\mp &\X\cup &\X\bigtriangleup &\X\ominus \\ -\X\times &\X\uplus &\X\bigtriangledown &\X\otimes \\ -\X\div &\X\sqcap &\X\triangleleft &\X\oslash \\ -\X\ast &\X\sqcup &\X\triangleright &\X\odot \\ -\X\star &\X\vee &\X\lhd &\X\bigcirc \\ -\X\circ &\X\wedge &\X\rhd &\X\dagger \\ -\X\bullet &\X\setminus &\X\unlhd &\X\ddagger \\ -\X\cdot &\X\wr &\X\unrhd &\X\S \\ -\X+ &\X- &\X\amalg &\X\P -\end{tabular} - - -\subsection{Relations \showfamily} - -\begin{tabular}{*8l} -\X\leq &\X\geq &\X\equiv &\X\models \\ -\X\prec &\X\succ &\X\sim &\X\perp \\ -\X\preceq &\X\succeq &\X\simeq &\X\mid \\ -\X\ll &\X\gg &\X\asymp &\X\parallel \\ -\X\subset &\X\supset &\X\approx &\X\bowtie \\ -\X\subseteq &\X\supseteq &\X\cong &\X\Join \\ -\X\sqsubset &\X\sqsupset &\X\neq &\X\smile \\ -\X\sqsubseteq &\X\sqsupseteq &\X\doteq &\X\frown \\ -\X\in &\X\ni &\X\propto &\X= \\ -\X\vdash &\X\dashv &\X< &\X> \\ -\X: -\end{tabular} - - -\subsection{Punctuation \showfamily} - -\begin{tabular}{*{5}{lp{3.2em}}} -\X, &\X; &\X\colon &\X\ldotp &\X\cdotp -\end{tabular} - - -\subsection{Arrows \showfamily} - -\begin{tabular}{*6l} -\X\leftarrow &\X\longleftarrow &\X\uparrow \\ -\X\Leftarrow &\X\Longleftarrow &\X\Uparrow \\ -\X\rightarrow &\X\longrightarrow &\X\downarrow \\ -\X\Rightarrow &\X\Longrightarrow &\X\Downarrow \\ -\X\leftrightarrow &\X\longleftrightarrow &\X\updownarrow \\ -\X\Leftrightarrow &\X\Longleftrightarrow &\X\Updownarrow \\ -\X\mapsto &\X\longmapsto &\X\nearrow \\ -\X\hookleftarrow &\X\hookrightarrow &\X\searrow \\ -\X\leftharpoonup &\X\rightharpoonup &\X\swarrow \\ -\X\leftharpoondown &\X\rightharpoondown &\X\nwarrow \\ -\X\rightleftharpoons &\X\leadsto -\end{tabular} - - -\subsection{Miscellaneous Symbols \showfamily} - -\begin{tabular}{*8l} -\X\ldots &\X\cdots &\X\vdots &\X\ddots \\ -\X\aleph &\X\prime &\X\forall &\X\infty \\ -\X\hbar &\X\emptyset &\X\exists &\X\Box \\ -\X\imath &\X\nabla &\X\neg &\X\Diamond \\ -\X\jmath &\X\surd &\X\flat &\X\triangle \\ -\X\ell &\X\top &\X\natural &\X\clubsuit \\ -\X\wp &\X\bot &\X\sharp &\X\diamondsuit \\ -\X\Re &\X\| &\X\backslash &\X\heartsuit \\ -\X\Im &\X\angle &\X\partial &\X\spadesuit \\ -\X\mho &\X. &\X| &\X! -\end{tabular} - - -\subsection{Variable-Sized Operators \showfamily} - -\begin{tabular}{*6l} -\X\sum &\X\bigcap &\X\bigodot \\ -\X\prod &\X\bigcup &\X\bigotimes \\ -\X\coprod &\X\bigsqcup &\X\bigoplus \\ -\X\int &\X\bigvee &\X\biguplus \\ -\X\oint &\X\bigwedge -\end{tabular} - - -\subsection{Log-Like Operators \showfamily} - -\begin{tabular}{*8l} -\Z\arccos &\Z\cos &\Z\csc &\Z\exp & - \Z\ker &\Z\limsup &\Z\min &\Z\sinh \\ -\Z\arcsin &\Z\cosh &\Z\deg &\Z\gcd & - \Z\lg &\Z\ln &\Z\Pr &\Z\sup \\ -\Z\arctan &\Z\cot &\Z\det &\Z\hom & - \Z\lim &\Z\log &\Z\sec &\Z\tan \\ -\Z\arg &\Z\coth &\Z\dim &\Z\inf & - \Z\liminf &\Z\max &\Z\sin &\Z\tanh -\end{tabular} - - -\subsection{Delimiters \showfamily} - -\begin{tabular}{*8l} -\X( &\X) &\X\uparrow &\X\Uparrow \\ -\X[ &\X] &\X\downarrow &\X\Downarrow \\ -\X\{ &\X\} &\X\updownarrow &\X\Updownarrow \\ -\X\lfloor &\X\rfloor &\X\lceil &\X\rceil \\ -\X\langle &\X\rangle &\X/ &\X\backslash \\ -\X| &\X\| -\end{tabular} - - -\subsection{Large Delimiters \showfamily} - -\begin{tabular}{*8l} -\Y\rmoustache& \Y\lmoustache& \Y\rgroup& \Y\lgroup\\[5pt] -\Y\arrowvert& \Y\Arrowvert& \Y\bracevert -\end{tabular} - - -\subsection{Math Mode Accents \showfamily} - -\begin{tabular}{*{10}l} -\W\hat{a} &\W\acute{a} &\W\bar{a} &\W\dot{a} &\W\breve{a}\\ -\W\check{a} &\W\grave{a} &\W\vec{a} &\W\ddot{a} &\W\tilde{a}\\ -\end{tabular} - - -\subsection{Miscellaneous Constructions \showfamily} - -\begin{tabular}{*4l} -\W\widetilde{abc} &\W\widehat{abc} \\ -\W\overleftarrow{abc} &\W\overrightarrow{abc} \\ -\W\overline{abc} &\W\underline{abc} \\ -\W\overbrace{abc} &\W\underbrace{abc} \\[5pt] -\W\sqrt{abc} &$\sqrt[n]{abc}$&\verb|\sqrt[n]{abc}| \\ -$f'$&\verb|f'| &$\frac{abc}{xyz}$&\verb|\frac{abc}{xyz}| -\end{tabular} - - -\subsection{AMS Delimiters \showfamily} - -\begin{tabular}{*8l} -\X\ulcorner&\X\urcorner&\X\llcorner&\X\lrcorner -\end{tabular} - - -\subsection{AMS Arrows \showfamily} - -\begin{tabular}{*8l} -\X\dashrightarrow &\X\dashleftarrow - \\ \X\leftleftarrows &\X\leftrightarrows \\ -\X\Lleftarrow &\X\twoheadleftarrow - \\ \X\leftarrowtail &\X\looparrowleft \\ -\X\leftrightharpoons &\X\curvearrowleft - \\ \X\circlearrowleft &\X\Lsh \\ -\X\upuparrows &\X\upharpoonleft - \\ \X\downharpoonleft &\X\multimap \\ -\X\leftrightsquigarrow &\X\rightrightarrows - \\ \X\rightleftarrows &\X\rightrightarrows \\ -\X\rightleftarrows &\X\twoheadrightarrow - \\ \X\rightarrowtail &\X\looparrowright \\ -\X\rightleftharpoons &\X\curvearrowright - \\ \X\circlearrowright &\X\Rsh \\ -\X\downdownarrows &\X\upharpoonright - \\ \X\downharpoonright &\X\rightsquigarrow -\end{tabular} - - -\subsection{AMS Negated Arrows \showfamily} - -\begin{tabular}{*8l} -\X\nleftarrow &\X\nrightarrow \\ \X\nLeftarrow &\X\nRightarrow \\ -\X\nleftrightarrow&\X\nLeftrightarrow -\end{tabular} - - -\subsection{AMS Greek \showfamily} - -\begin{tabular}{*4l} -\X\digamma &\X\varkappa -\end{tabular} - - -\subsection{AMS Hebrew \showfamily} - -\begin{tabular}{*8l} -\X\aleph & \X\beth &\X\daleth &\X\gimel -\end{tabular} - - -\subsection{AMS Miscellaneous \showfamily} - -\begin{tabular}{*8l} -\X\hbar &\X\hslash \\ \X\vartriangle &\X\triangledown \\ -\X\square &\X\lozenge \\ \X\circledS &\X\angle \\ -\X\measuredangle&\X\nexists \\ \X\mho &\X\Finv$^u$ \\ -\X\Game$^u$ &\X\Bbbk$^u$ \\ \X\backprime &\X\varnothing \\ -\X\blacktriangle&\X\blacktriangledown \\ \X\blacksquare&\X\blacklozenge \\ -\X\bigstar &\X\sphericalangle \\ \X\complement &\X\eth \\ -\X\diagup$^u$ &\X\diagdown$^u$ -\end{tabular} - -$^u$ Not defined in {\tt amssymb.sty}, define using the -\verb|\newsymbol| command. - - -\subsection{AMS Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\dotplus &\X\smallsetminus \\ \X\Cap &\X\Cup \\ -\X\barwedge &\X\veebar \\ \X\doublebarwedge&\X\boxminus \\ -\X\boxtimes &\X\boxdot \\ \X\boxplus &\X\divideontimes \\ -\X\ltimes &\X\rtimes \\ \X\leftthreetimes&\X\rightthreetimes \\ -\X\curlywedge &\X\curlyvee \\ \X\circleddash &\X\circledast \\ -\X\circledcirc &\X\centerdot \\ \X\intercal -\end{tabular} - - -\subsection{AMS Relations \showfamily} - -\begin{tabular}{*2l} -\X\leqslant \\\X\lesssim \\ -\X\approxeq \\\X\lll \\ -\X\lesseqgtr \\\X\doteqdot \\ -\X\fallingdotseq\\\X\backsimeq \\ -\X\Subset \\\X\preccurlyeq\\ -\X\precsim \\\X\vartriangleleft\\ -\X\vDash \\\X\smallsmile \\ -\X\bumpeq \\\X\geqq \\ -\X\eqslantgtr \\\X\gtrapprox \\ -\X\ggg \\\X\gtreqless \\ -\X\eqcirc \\\X\triangleq \\ -\X\thickapprox \\\X\Supset \\ -\X\succcurlyeq \\\X\succsim \\ -\X\vartriangleright\\\X\Vdash \\ -\X\shortparallel\\\X\pitchfork \\ -\X\blacktriangleleft \\\X\backepsilon\\ -\X\because -\end{tabular} - - -\subsection{AMS Negated Relations \showfamily} - -\begin{tabular}{*8l} -\X\nless &\X\nleq \\ \X\nleqslant &\X\nleqq \\ -\X\lneq &\X\lneqq \\ \X\lvertneqq &\X\lnsim \\ -\X\lnapprox &\X\nprec \\ \X\npreceq &\X\precnsim \\ -\X\precnapprox &\X\nsim \\ \X\nshortmid &\X\nmid \\ -\X\nvdash &\X\nvDash \\ \X\ntriangleleft&\X\ntrianglelefteq\\ -\X\nsubseteq &\X\subsetneq \\ \X\varsubsetneq&\X\subsetneqq \\ -\X\varsubsetneqq&\X\ngtr \\ \X\ngeq &\X\ngeqslant \\ -\X\ngeqq &\X\gneq \\ \X\gneqq &\X\gvertneqq \\ -\X\gnsim &\X\gnapprox \\ \X\nsucc &\X\nsucceq \\ -\X\nsucceqq &\X\succnsim \\ \X\succnapprox &\X\ncong \\ -\X\nshortparallel&\X\nparallel \\ \X\nvDash &\X\nVDash \\ -\X\ntriangleright&\X\ntrianglerighteq \\ \X\nsupseteq&\X\nsupseteqq\\ -\X\supsetneq &\X\varsupsetneq \\ \X\supsetneqq &\X\varsupsetneqq -\end{tabular} \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtest_serifbold.tex b/2_Math_Tests/Obsolete/mathtest_serifbold.tex deleted file mode 100644 index 292967b..0000000 --- a/2_Math_Tests/Obsolete/mathtest_serifbold.tex +++ /dev/null @@ -1,979 +0,0 @@ - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -\section{\showfamily} - - - -\subsection{Overview \showfamily} - -Default: $a \alpha b \beta G \Gamma P \Pi \alpha \beta$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alphaup b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ - -\bigskip - -{\sffamily -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - -\bigskip - -{\sffamily\bfseries - -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - - -\subsection{Formulas \showfamily} - -\noindent -\checkgreekletters - -\noindent -{\boldmath\checkgreekletters} - -\noindent -{\sffamily\selectfont \checkgreekletters} - -\noindent -{\sffamily\bfseries\selectfont \checkgreekletters} - -\noindent -{\sffamily $\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$} - -\noindent -$\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$ - -$s \pm 3 \gamma + y - 1 = 4 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ - -\noindent -{\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathup{d}x = \left( \frac{27}{2} \right)$$ -} - - -\subsection{Math Alphabets \showfamily} - -%\sffamily\selectfont - -Default -\def\test#1{#1,} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Normal (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\mathit{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Caligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Script (\texttt{\string\mathscr}) -\def\test#1{\mathscr{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Fraktur (\texttt{\string\mathfrak}) -\def\test#1{\mathfrak{#1},} -\begin{eqnarray*} - && {\testupper}\\ - && {\testlower} -\end{eqnarray*}% - -Blackboard Bold (\texttt{\string\mathbb}) -\def\test#1{\mathbb{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -\subsection{Character Sidebearings \showfamily} - -Default -\def\test#1{|#1|+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{|\mathrm{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{|\mathbm{#1}|+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{|\mathbf{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{|\mathcal{#1}|+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Superscript Positioning \showfamily} - -Default -\def\test#1{#1^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}^{2}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}^{2}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Subscript Positioning \showfamily} - -Default -\def\test#1{\mathnormal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Bold Italic (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}_{i}+{}}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1}_{i}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Accent Positioning \showfamily} - -Default -\def\test#1{\hat{#1}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\hat{\mathit{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri} \test\ell \test\wp \test\imath \test\jmath \tilde{i} \\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\hat{\mathrm{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\hat{\mathbm{#1}}+{}}% -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\hat{\mathbf{#1}}+{}}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -Math Calligraphic (\texttt{\string\mathcal}) -\def\test#1{\hat{\mathcal{#1}}+{}}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\subsection{Differentials \showfamily} - -\begin{eqnarray*} -\gdef\test#1{\dit #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dit \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\dup #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dup \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\partial #1+{}}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+{}}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - -\subsection{Slash Kerning \showfamily} - -\def\test#1{1/#1+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+{}} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - -\subsection{Big Operators \showfamily} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\subsection{Radicals \showfamily} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\subsection{Over- and Underbraces \showfamily} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\subsection{Normal and Wide Accents \showfamily} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - -\begin{displaymath} - \hat{x} \quad - \check{x} \quad - \tilde{x} \quad - \acute{x} \quad - \grave{x} \quad - \dot{x} \quad - \ddot{x} \quad - \breve{x} \quad - \bar{x} \quad - \vec{x} \quad -\end{displaymath} - - -\subsection{Long Arrows \showfamily} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\subsection{Left and Right Delimiters \showfamily} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -Using {\tt\string\left} and {\tt\string\right}. -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - -\subsection{Big-g-g Delimiters \showfamily} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - -\def\X#1{$x #1 y$ &\tt\string#1} -\def\Y#1{$\big#1$ &\tt\string#1} -\def\Z#1{$x #1 y$} -\def\W#1#2{$#1{#2}$ &\tt\string#1\string{#2\string}} - - -\subsection{Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\pm &\X\cap &\X\diamond &\X\oplus \\ -\X\mp &\X\cup &\X\bigtriangleup &\X\ominus \\ -\X\times &\X\uplus &\X\bigtriangledown &\X\otimes \\ -\X\div &\X\sqcap &\X\triangleleft &\X\oslash \\ -\X\ast &\X\sqcup &\X\triangleright &\X\odot \\ -\X\star &\X\vee &\X\lhd &\X\bigcirc \\ -\X\circ &\X\wedge &\X\rhd &\X\dagger \\ -\X\bullet &\X\setminus &\X\unlhd &\X\ddagger \\ -\X\cdot &\X\wr &\X\unrhd &\X\S \\ -\X+ &\X- &\X\amalg &\X\P -\end{tabular} - - -\subsection{Relations \showfamily} - -\begin{tabular}{*8l} -\X\leq &\X\geq &\X\equiv &\X\models \\ -\X\prec &\X\succ &\X\sim &\X\perp \\ -\X\preceq &\X\succeq &\X\simeq &\X\mid \\ -\X\ll &\X\gg &\X\asymp &\X\parallel \\ -\X\subset &\X\supset &\X\approx &\X\bowtie \\ -\X\subseteq &\X\supseteq &\X\cong &\X\Join \\ -\X\sqsubset &\X\sqsupset &\X\neq &\X\smile \\ -\X\sqsubseteq &\X\sqsupseteq &\X\doteq &\X\frown \\ -\X\in &\X\ni &\X\propto &\X= \\ -\X\vdash &\X\dashv &\X< &\X> \\ -\X: -\end{tabular} - - -\subsection{Punctuation \showfamily} - -\begin{tabular}{*{5}{lp{3.2em}}} -\X, &\X; &\X\colon &\X\ldotp &\X\cdotp -\end{tabular} - - -\subsection{Arrows \showfamily} - -\begin{tabular}{*6l} -\X\leftarrow &\X\longleftarrow &\X\uparrow \\ -\X\Leftarrow &\X\Longleftarrow &\X\Uparrow \\ -\X\rightarrow &\X\longrightarrow &\X\downarrow \\ -\X\Rightarrow &\X\Longrightarrow &\X\Downarrow \\ -\X\leftrightarrow &\X\longleftrightarrow &\X\updownarrow \\ -\X\Leftrightarrow &\X\Longleftrightarrow &\X\Updownarrow \\ -\X\mapsto &\X\longmapsto &\X\nearrow \\ -\X\hookleftarrow &\X\hookrightarrow &\X\searrow \\ -\X\leftharpoonup &\X\rightharpoonup &\X\swarrow \\ -\X\leftharpoondown &\X\rightharpoondown &\X\nwarrow \\ -\X\rightleftharpoons &\X\leadsto -\end{tabular} - - -\subsection{Miscellaneous Symbols \showfamily} - -\begin{tabular}{*8l} -\X\ldots &\X\cdots &\X\vdots &\X\ddots \\ -\X\aleph &\X\prime &\X\forall &\X\infty \\ -\X\hbar &\X\emptyset &\X\exists &\X\Box \\ -\X\imath &\X\nabla &\X\neg &\X\Diamond \\ -\X\jmath &\X\surd &\X\flat &\X\triangle \\ -\X\ell &\X\top &\X\natural &\X\clubsuit \\ -\X\wp &\X\bot &\X\sharp &\X\diamondsuit \\ -\X\Re &\X\| &\X\backslash &\X\heartsuit \\ -\X\Im &\X\angle &\X\partial &\X\spadesuit \\ -\X\mho &\X. &\X| &\X! -\end{tabular} - - -\subsection{Variable-Sized Operators \showfamily} - -\begin{tabular}{*6l} -\X\sum &\X\bigcap &\X\bigodot \\ -\X\prod &\X\bigcup &\X\bigotimes \\ -\X\coprod &\X\bigsqcup &\X\bigoplus \\ -\X\int &\X\bigvee &\X\biguplus \\ -\X\oint &\X\bigwedge -\end{tabular} - - -\subsection{Log-Like Operators \showfamily} - -\begin{tabular}{*8l} -\Z\arccos &\Z\cos &\Z\csc &\Z\exp & - \Z\ker &\Z\limsup &\Z\min &\Z\sinh \\ -\Z\arcsin &\Z\cosh &\Z\deg &\Z\gcd & - \Z\lg &\Z\ln &\Z\Pr &\Z\sup \\ -\Z\arctan &\Z\cot &\Z\det &\Z\hom & - \Z\lim &\Z\log &\Z\sec &\Z\tan \\ -\Z\arg &\Z\coth &\Z\dim &\Z\inf & - \Z\liminf &\Z\max &\Z\sin &\Z\tanh -\end{tabular} - - -\subsection{Delimiters \showfamily} - -\begin{tabular}{*8l} -\X( &\X) &\X\uparrow &\X\Uparrow \\ -\X[ &\X] &\X\downarrow &\X\Downarrow \\ -\X\{ &\X\} &\X\updownarrow &\X\Updownarrow \\ -\X\lfloor &\X\rfloor &\X\lceil &\X\rceil \\ -\X\langle &\X\rangle &\X/ &\X\backslash \\ -\X| &\X\| -\end{tabular} - - -\subsection{Large Delimiters \showfamily} - -\begin{tabular}{*8l} -\Y\rmoustache& \Y\lmoustache& \Y\rgroup& \Y\lgroup\\[5pt] -\Y\arrowvert& \Y\Arrowvert& \Y\bracevert -\end{tabular} - - -\subsection{Math Mode Accents \showfamily} - -\begin{tabular}{*{10}l} -\W\hat{a} &\W\acute{a} &\W\bar{a} &\W\dot{a} &\W\breve{a}\\ -\W\check{a} &\W\grave{a} &\W\vec{a} &\W\ddot{a} &\W\tilde{a}\\ -\end{tabular} - - -\subsection{Miscellaneous Constructions \showfamily} - -\begin{tabular}{*4l} -\W\widetilde{abc} &\W\widehat{abc} \\ -\W\overleftarrow{abc} &\W\overrightarrow{abc} \\ -\W\overline{abc} &\W\underline{abc} \\ -\W\overbrace{abc} &\W\underbrace{abc} \\[5pt] -\W\sqrt{abc} &$\sqrt[n]{abc}$&\verb|\sqrt[n]{abc}| \\ -$f'$&\verb|f'| &$\frac{abc}{xyz}$&\verb|\frac{abc}{xyz}| -\end{tabular} - - -\subsection{AMS Delimiters \showfamily} - -\begin{tabular}{*8l} -\X\ulcorner&\X\urcorner&\X\llcorner&\X\lrcorner -\end{tabular} - - -\subsection{AMS Arrows \showfamily} - -\begin{tabular}{*8l} -\X\dashrightarrow &\X\dashleftarrow - \\ \X\leftleftarrows &\X\leftrightarrows \\ -\X\Lleftarrow &\X\twoheadleftarrow - \\ \X\leftarrowtail &\X\looparrowleft \\ -\X\leftrightharpoons &\X\curvearrowleft - \\ \X\circlearrowleft &\X\Lsh \\ -\X\upuparrows &\X\upharpoonleft - \\ \X\downharpoonleft &\X\multimap \\ -\X\leftrightsquigarrow &\X\rightrightarrows - \\ \X\rightleftarrows &\X\rightrightarrows \\ -\X\rightleftarrows &\X\twoheadrightarrow - \\ \X\rightarrowtail &\X\looparrowright \\ -\X\rightleftharpoons &\X\curvearrowright - \\ \X\circlearrowright &\X\Rsh \\ -\X\downdownarrows &\X\upharpoonright - \\ \X\downharpoonright &\X\rightsquigarrow -\end{tabular} - - -\subsection{AMS Negated Arrows \showfamily} - -\begin{tabular}{*8l} -\X\nleftarrow &\X\nrightarrow \\ \X\nLeftarrow &\X\nRightarrow \\ -\X\nleftrightarrow&\X\nLeftrightarrow -\end{tabular} - - -\subsection{AMS Greek \showfamily} - -\begin{tabular}{*4l} -\X\digamma &\X\varkappa -\end{tabular} - - -\subsection{AMS Hebrew \showfamily} - -\begin{tabular}{*6l} -\X\beth &\X\daleth &\X\gimel -\end{tabular} - - -\subsection{AMS Miscellaneous \showfamily} - -\begin{tabular}{*8l} -\X\hbar &\X\hslash \\ \X\vartriangle &\X\triangledown \\ -\X\square &\X\lozenge \\ \X\circledS &\X\angle \\ -\X\measuredangle&\X\nexists \\ \X\mho &\X\Finv$^u$ \\ -\X\Game$^u$ &\X\Bbbk$^u$ \\ \X\backprime &\X\varnothing \\ -\X\blacktriangle&\X\blacktriangledown \\ \X\blacksquare&\X\blacklozenge \\ -\X\bigstar &\X\sphericalangle \\ \X\complement &\X\eth \\ -\X\diagup$^u$ &\X\diagdown$^u$ -\end{tabular} - -$^u$ Not defined in {\tt amssymb.sty}, define using the -\verb|\newsymbol| command. - - -\subsection{AMS Binary Operators \showfamily} - -\begin{tabular}{*8l} -\X\dotplus &\X\smallsetminus \\ \X\Cap &\X\Cup \\ -\X\barwedge &\X\veebar \\ \X\doublebarwedge&\X\boxminus \\ -\X\boxtimes &\X\boxdot \\ \X\boxplus &\X\divideontimes \\ -\X\ltimes &\X\rtimes \\ \X\leftthreetimes&\X\rightthreetimes \\ -\X\curlywedge &\X\curlyvee \\ \X\circleddash &\X\circledast \\ -\X\circledcirc &\X\centerdot \\ \X\intercal -\end{tabular} - - -\subsection{AMS Relations \showfamily} - -\begin{tabular}{*2l} -\X\leqslant \\\X\lesssim \\ -\X\approxeq \\\X\lll \\ -\X\lesseqgtr \\\X\doteqdot \\ -\X\fallingdotseq\\\X\backsimeq \\ -\X\Subset \\\X\preccurlyeq\\ -\X\precsim \\\X\vartriangleleft\\ -\X\vDash \\\X\smallsmile \\ -\X\bumpeq \\\X\geqq \\ -\X\eqslantgtr \\\X\gtrapprox \\ -\X\ggg \\\X\gtreqless \\ -\X\eqcirc \\\X\triangleq \\ -\X\thickapprox \\\X\Supset \\ -\X\succcurlyeq \\\X\succsim \\ -\X\vartriangleright\\\X\Vdash \\ -\X\shortparallel\\\X\pitchfork \\ -\X\blacktriangleleft \\\X\backepsilon\\ -\X\because -\end{tabular} - - -\subsection{AMS Negated Relations \showfamily} - -\begin{tabular}{*8l} -\X\nless &\X\nleq \\ \X\nleqslant &\X\nleqq \\ -\X\lneq &\X\lneqq \\ \X\lvertneqq &\X\lnsim \\ -\X\lnapprox &\X\nprec \\ \X\npreceq &\X\precnsim \\ -\X\precnapprox &\X\nsim \\ \X\nshortmid &\X\nmid \\ -\X\nvdash &\X\nvDash \\ \X\ntriangleleft&\X\ntrianglelefteq\\ -\X\nsubseteq &\X\subsetneq \\ \X\varsubsetneq&\X\subsetneqq \\ -\X\varsubsetneqq&\X\ngtr \\ \X\ngeq &\X\ngeqslant \\ -\X\ngeqq &\X\gneq \\ \X\gneqq &\X\gvertneqq \\ -\X\gnsim &\X\gnapprox \\ \X\nsucc &\X\nsucceq \\ -\X\nsucceqq &\X\succnsim \\ \X\succnapprox &\X\ncong \\ -\X\nshortparallel&\X\nparallel \\ \X\nvDash &\X\nVDash \\ -\X\ntriangleright&\X\ntrianglerighteq \\ \X\nsupseteq&\X\nsupseteqq\\ -\X\supsetneq &\X\varsupsetneq \\ \X\supsetneqq &\X\varsupsetneqq -\end{tabular} - -} \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/mathtestx.tex b/2_Math_Tests/Obsolete/mathtestx.tex deleted file mode 100644 index 0cc7c2e..0000000 --- a/2_Math_Tests/Obsolete/mathtestx.tex +++ /dev/null @@ -1,643 +0,0 @@ -%\documentclass[fleqn]{article} -%\usepackage{mathptmx} -% -%\DeclareMathSymbol{\Gamma} {\mathalpha}{letters}{"00} -%\DeclareMathSymbol{\Delta} {\mathalpha}{letters}{"01} -%\DeclareMathSymbol{\Theta} {\mathalpha}{letters}{"02} -%\DeclareMathSymbol{\Lambda} {\mathalpha}{letters}{"03} -%\DeclareMathSymbol{\Xi} {\mathalpha}{letters}{"04} -%\DeclareMathSymbol{\Pi} {\mathalpha}{letters}{"05} -%\DeclareMathSymbol{\Sigma} {\mathalpha}{letters}{"06} -%\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07} -%\DeclareMathSymbol{\Phi} {\mathalpha}{letters}{"08} -%\DeclareMathSymbol{\Psi} {\mathalpha}{letters}{"09} -%\DeclareMathSymbol{\Omega} {\mathalpha}{letters}{"0A} -% -%\DeclareMathSymbol{\alpha} {\mathalpha}{letters}{"0B} -%\DeclareMathSymbol{\beta} {\mathalpha}{letters}{"0C} -%\DeclareMathSymbol{\gamma} {\mathalpha}{letters}{"0D} -%\DeclareMathSymbol{\delta} {\mathalpha}{letters}{"0E} -%\DeclareMathSymbol{\epsilon}{\mathalpha}{letters}{"0F} -%\DeclareMathSymbol{\zeta} {\mathalpha}{letters}{"10} -%\DeclareMathSymbol{\eta} {\mathalpha}{letters}{"11} -%\DeclareMathSymbol{\theta} {\mathalpha}{letters}{"12} -%\DeclareMathSymbol{\iota} {\mathalpha}{letters}{"13} -%\DeclareMathSymbol{\kappa} {\mathalpha}{letters}{"14} -%\DeclareMathSymbol{\lambda} {\mathalpha}{letters}{"15} -%\DeclareMathSymbol{\mu} {\mathalpha}{letters}{"16} -%\DeclareMathSymbol{\nu} {\mathalpha}{letters}{"17} -%\DeclareMathSymbol{\xi} {\mathalpha}{letters}{"18} -%\DeclareMathSymbol{\pi} {\mathalpha}{letters}{"19} -%\DeclareMathSymbol{\rho} {\mathalpha}{letters}{"1A} -%\DeclareMathSymbol{\sigma} {\mathalpha}{letters}{"1B} -%\DeclareMathSymbol{\tau} {\mathalpha}{letters}{"1C} -%\DeclareMathSymbol{\upsilon}{\mathalpha}{letters}{"1D} -%\DeclareMathSymbol{\phi} {\mathalpha}{letters}{"1E} -%\DeclareMathSymbol{\chi} {\mathalpha}{letters}{"1F} -%\DeclareMathSymbol{\psi} {\mathalpha}{letters}{"20} -%\DeclareMathSymbol{\omega} {\mathalpha}{letters}{"21} -%\DeclareMathSymbol{\varepsilon} {\mathalpha}{letters}{"22} -%\DeclareMathSymbol{\vartheta} {\mathalpha}{letters}{"23} -%\DeclareMathSymbol{\varpi} {\mathalpha}{letters}{"24} -%\DeclareMathSymbol{\varrho} {\mathalpha}{letters}{"25} -%\DeclareMathSymbol{\varsigma} {\mathalpha}{letters}{"26} -%\DeclareMathSymbol{\varphi} {\mathalpha}{letters}{"27} -% -%\DeclareMathSymbol{\dit}{\mathord}{letters}{`d} -%\DeclareMathSymbol{\dup}{\mathord}{operators}{`d} -% -%\nofiles -% -%\parindent 0pt -%\mathindent 1em - -\def\test#1{#1} - -\def\testnums{% - \test 0 \test 1 \test 2 \test 3 \test 4 \test 5 \test 6 \test 7 - \test 8 \test 9 } -\def\testupperi{% - \test A \test B \test C \test D \test E \test F \test G \test H - \test I \test J \test K \test L \test M } -\def\testupperii{% - \test N \test O \test P \test Q \test R \test S \test T \test U - \test V \test W \test X \test Y \test Z } -\def\testupper{% - \testupperi\testupperii} - -\def\testloweri{% - \test a \test b \test c \test d \test e \test f \test g \test h - \test i \test j \test k \test l \test m } -\def\testlowerii{% - \test n \test o \test p \test q \test r \test s \test t \test u - \test v \test w \test x \test y \test z - \test\imath \test\jmath } -\def\testlower{% - \testloweri\testlowerii} - -\def\testupgreeki{% - \test A \test B \test\Gamma \test\Delta \test E \test Z \test H - \test\Theta \test I \test K \test\Lambda \test M } -\def\testupgreekii{% - \test N \test\Xi \test O \test\Pi \test P \test\Sigma \test T - \test\Upsilon \test\Phi \test X \test\Psi \test\Omega - \test\nabla } -\def\testupgreek{% - \testupgreeki\testupgreekii} - -\def\testlowgreeki{% - \test\alpha \test\beta \test\gamma \test\delta \test\epsilon - \test\zeta \test\eta \test\theta \test\iota \test\kappa \test\lambda - \test\mu } -\def\testlowgreekii{% - \test\nu \test\xi \test o \test\pi \test\rho \test\sigma \test\tau - \test\upsilon \test\phi \test\chi \test\psi \test\omega } -\def\testlowgreekiii{% - \test\varepsilon \test\vartheta \test\varpi \test\varrho - \test\varsigma \test\varphi} -\def\testlowgreek{% - \testlowgreeki\testlowgreekii\testlowgreekiii} - - -%\begin{document} - -\section{Math Alphabets} - -Math Italic (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek} -\end{eqnarray*}% - -%Math Italic Bold -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -%Math Bold (\texttt{\string\mathbf}) -%\def\test#1{\mathbf{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek} -%\end{eqnarray*}% - -Caligraphic (\texttt{\string\mathcal}) -\def\test#1{\mathcal{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -%Script (\texttt{\string\mathscr}) -%\def\test#1{\mathscr{#1},} -%\begin{eqnarray*} -% && {\testupper} -%\end{eqnarray*}% - -%Fraktur (\texttt{\string\mathfrak}) -%\def\test#1{\mathfrak{#1},} -%\begin{eqnarray*} -% && {\testupper}\\ -% && {\testlower} -%\end{eqnarray*}% - -%Blackboard Bold (\texttt{\string\mathbb}) -%\def\test#1{\mathbb{#1},} -%\begin{eqnarray*} -% && {\testupper} -%\end{eqnarray*}% - - -\clearpage -\section{Character Sidebearings} - -\def\test#1{|#1|+} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% -% -\def\test#1{|\mathrm{#1}|+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% -% -%\def\test#1{|\mathbm{#1}|+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% -%% -%\def\test#1{|\mathbf{#1}|+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii} -%\end{eqnarray*}% -% -\def\test#1{|\mathcal{#1}|+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\clearpage -\section{Superscript positioning} - -\def\test#1{#1^{2}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% -% -\def\test#1{\mathrm{#1}^{2}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% -% -%\def\test#1{\mathbm{#1}^{2}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% -% -%\def\test#1{\mathbf{#1}^{2}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii} -%\end{eqnarray*} -% -\def\test#1{\mathcal{#1}^{2}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\clearpage -\section{Subscript positioning} - -\def\test#1{\mathnormal{#1}_{i}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% -% -\def\test#1{\mathrm{#1}_{i}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% -% -%\def\test#1{\mathbm{#1}_{i}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} -%% -%\def\test#1{\mathbf{#1}_{i}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii} -%\end{eqnarray*}% -% -\def\test#1{\mathcal{#1}_{i}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\clearpage -\section{Accent positioning} - -\def\test#1{\hat{#1}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% -% -\def\test#1{\hat{\mathrm{#1}}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% -% -%\def\test#1{\hat{\mathbm{#1}}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% -%% -%\def\test#1{\hat{\mathbf{#1}}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii} -%\end{eqnarray*} -% -\def\test#1{\hat{\mathcal{#1}}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii} -\end{eqnarray*}% - - -\clearpage -\section{Differentials} - -\begin{eqnarray*} -\gdef\test#1{\dit #1+}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dit \mathrm{#1}+}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% -% -\begin{eqnarray*} -\gdef\test#1{\dup #1+}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\dup \mathrm{#1}+}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% -% -\begin{eqnarray*} -\gdef\test#1{\partial #1+}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - -\clearpage -\section{Slash kerning} - -\def\test#1{1/#1+} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - -\clearpage -\section{Big operators} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\section{Radicals} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\section{Over- and underbraces} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\section{Normal and wide accents} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - - -\section{Long arrows} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\section{Left and right delimters} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - -\clearpage -\section{Big-g-g delimters} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - - - -%\end{document} - -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: diff --git a/2_Math_Tests/Obsolete/mathtesty.pdf b/2_Math_Tests/Obsolete/mathtesty.pdf deleted file mode 100644 index 0307997..0000000 Binary files a/2_Math_Tests/Obsolete/mathtesty.pdf and /dev/null differ diff --git a/2_Math_Tests/Obsolete/mathtesty.tex b/2_Math_Tests/Obsolete/mathtesty.tex deleted file mode 100644 index fae5810..0000000 --- a/2_Math_Tests/Obsolete/mathtesty.tex +++ /dev/null @@ -1,1049 +0,0 @@ -% mathtesty.tex, by Stephen Hartke 20050522 -% based on mathtestx.tex in the mathptmx package -% and symbols.tex by David Carlisle - -\documentclass[fleqn]{article} -\usepackage[letterpaper,text={6.5in,9in}]{geometry} - -%\usepackage{amssymb} % for \mathfrak -%\usepackage{mathrsfs} % for \mathscr -%\newcommand{\mathbm}{\mathbf} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Font selection goes here. - -%\usepackage{mathptmx} -%\input{millenialmath} -%\usepackage{txfonts,newcent,millenl} - -%txfonts 40, bold 70 pxfonts are the same -%cmm bold 45 -%fourier 39 -- no bold -%kerkis ktsy? 72:83 as kt:60 -%arev plus width 60 - -%\usepackage{arevtext} -%\usepackage{arevmath} - -\input{Fonts_and_microtypography_experimental_bm} - -%\boldmath - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%\nofiles - -\parindent 0pt -\mathindent 1em - -\def\test#1{#1} - -\def\testnums{% - \test 0 \test 1 \test 2 \test 3 \test 4 \test 5 \test 6 \test 7 - \test 8 \test 9 } -\def\testupperi{% - \test A \test B \test C \test D \test E \test F \test G \test H - \test I \test J \test K \test L \test M } -\def\testupperii{% - \test N \test O \test P \test Q \test R \test S \test T \test U - \test V \test W \test X \test Y \test Z } -\def\testupper{% - \testupperi\testupperii} - -\def\testloweri{% - \test a \test b \test c \test d \test e \test f \test g \test h - \test i \test j \test k \test l \test m } -\def\testlowerii{% - \test n \test o \test p \test q \test r \test s \test t \test u - \test v \test w \test x \test y \test z } -\def\testlower{% - \testloweri\testlowerii} - -\def\testupgreeki{% - \test A \test B \test\Gamma \test\Delta \test E \test Z \test H - \test\Theta \test I \test K \test\Lambda \test M } -\def\testupgreekii{% - \test N \test\Xi \test O \test\Pi \test P \test\Sigma \test T - \test\Upsilon \test\Phi \test X \test\Psi \test\Omega } -\def\testupgreek{% - \testupgreeki\testupgreekii} - -\def\testlowgreeki{% - \test\alpha \test\beta \test\gamma \test\delta \test\epsilon - \test\zeta \test\eta \test\theta \test\iota \test\kappa \test\lambda - \test\mu } -\def\testlowgreekii{% - \test\nu \test\xi \test o \test\pi \test\rho \test\sigma \test\tau - \test\upsilon \test\phi \test\chi \test\psi \test\omega } -\def\testlowgreekiii{% - \test\varepsilon \test\vartheta \test\varpi \test\varrho - \test\varsigma \test\varphi} -\def\testlowgreek{% - \testlowgreeki\testlowgreekii\testlowgreekiii} - - -\begin{document} - -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alphaup b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ - -\bigskip - -{\sffamily -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - -\bigskip - -{\sffamily\bfseries - -Default: $a \alpha b \beta G \Gamma P \Pi$ - -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi}$ - -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi}$ - -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi}$ - -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi}$ - -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi}$ - -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi}$ -} - - -\section{Formulas} - -\noindent -\checkgreekletters - -\noindent -{\sffamily\selectfont \checkgreekletters} - -\noindent -{\sffamily\bfseries\selectfont \checkgreekletters} - -\noindent - -$\hbox{ab+cd} = \hbox{a}\hbox{b} + \hbox{c}\hbox{d} = ab + cd = \mathalpha{ab + cd} = \mathalpha{a}\mathalpha{b}\mathalpha{+}\mathalpha{c}\mathalpha{d}$ - -$\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathrm{d}x = \left( \frac{27}{2} \right)$$ - -\noindent -{\sffamily $\alpha a > 0, \beta b + (3 \times 27), \Gamma G = 7 < 8, \lambda$} - -\noindent -{\sffamily $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathrm{d}x = \left( \frac{27}{2} \right)$$ -} - -\noindent -{\sffamily\bfseries $s \pm 3 \gamma + y - 1 \times 7$ - -$$\sum_{i=0}^{N} x^i$$ - -$$\int_{-\infty}^{\infty} x\,f(x)\,\mathrm{d}x = \left( \frac{27}{2} \right)$$ -} - - -\section{Math Alphabets} - -\sffamily\selectfont - -Default -\def\test#1{#1,} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Normal (\texttt{\string\mathnormal}) -\def\test#1{\mathnormal{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\mathit{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1},} -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupper}\\ -% && {\testlower}\\ -% && {\testupgreek}\\ -% && {\testlowgreek} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1},} -\begin{eqnarray*} - && {\testnums}\\ - && {\testupper}\\ - && {\testlower}\\ - && {\testupgreek}\\ - && {\testlowgreek} -\end{eqnarray*}% - -%Caligraphic (\texttt{\string\mathcal}) -%\def\test#1{\mathcal{#1},} -%\begin{eqnarray*} -% && {\testupper} -%\end{eqnarray*}% - -Script (\texttt{\string\mathscr}) -\def\test#1{\mathscr{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - -Fraktur (\texttt{\string\mathfrak}) -\def\test#1{\mathfrak{#1},} -\begin{eqnarray*} - && {\testupper}\\ - && {\testlower} -\end{eqnarray*}% - -Blackboard Bold (\texttt{\string\mathbb}) -\def\test#1{\mathbb{#1},} -\begin{eqnarray*} - && {\testupper} -\end{eqnarray*}% - - -\clearpage -\section{Character Sidebearings} - -Default -\def\test#1{|#1|+} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{|\mathrm{#1}|+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{|\mathbm{#1}|+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{|\mathbf{#1}|+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Calligraphic (\texttt{\string\mathcal}) -%\def\test#1{|\mathcal{#1}|+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii} -%\end{eqnarray*}% - - -\clearpage -\section{Superscript positioning} - -Default -\def\test#1{#1^{2}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}^{2}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}^{2}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}^{2}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -%Math Calligraphic (\texttt{\string\mathcal}) -%\def\test#1{\mathcal{#1}^{2}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii} -%\end{eqnarray*}% - - -\clearpage -\section{Subscript positioning} - -Default -\def\test#1{\mathnormal{#1}_{i}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\mathrm{#1}_{i}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Bold Italic (\texttt{\string\mathbm}) -%\def\test#1{\mathbm{#1}_{i}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*} - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\mathbf{#1}_{i}+}% -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Calligraphic (\texttt{\string\mathcal}) -%\def\test#1{\mathcal{#1}_{i}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii} -%\end{eqnarray*}% - - -\clearpage -\section{Accent positioning} - -Default -\def\test#1{\hat{#1}+}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Italic (\texttt{\string\mathit}) -\def\test#1{\hat{\mathit{#1}}+}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri} \test\ell \test\wp \test\imath \test\jmath \tilde{i} \\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*}% - -Math Roman (\texttt{\string\mathrm}) -\def\test#1{\hat{\mathrm{#1}}+}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - -%Math Italic Bold (\texttt{\string\mathbm}) -%\def\test#1{\hat{\mathbm{#1}}+}% -%\begin{eqnarray*} -% && {\testnums}\\ -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii} -%\end{eqnarray*}% - -Math Bold (\texttt{\string\mathbf}) -\def\test#1{\hat{\mathbf{#1}}+}% -\begin{eqnarray*} - && {\testnums}\\ - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*} - -%Math Calligraphic (\texttt{\string\mathcal}) -%\def\test#1{\hat{\mathcal{#1}}+}% -%\begin{eqnarray*} -% && {\testupperi}\\ -% && {\testupperii} -%\end{eqnarray*}% - - -\clearpage -\section{Differentials} - -%\begin{eqnarray*} -%\gdef\test#1{\dit #1+}% -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii}\\ -%\gdef\test#1{\dit \mathrm{#1}+}% -% && {\testupgreeki}\\ -% && {\testupgreekii} -%\end{eqnarray*}% - -%\begin{eqnarray*} -%\gdef\test#1{\dup #1+}% -% && {\testupperi}\\ -% && {\testupperii}\\ -% && {\testloweri}\\ -% && {\testlowerii}\\ -% && {\testupgreeki}\\ -% && {\testupgreekii}\\ -% && {\testlowgreeki}\\ -% && {\testlowgreekii}\\ -% && {\testlowgreekiii}\\ -%\gdef\test#1{\dup \mathrm{#1}+}% -% && {\testupgreeki}\\ -% && {\testupgreekii} -%\end{eqnarray*}% - -\begin{eqnarray*} -\gdef\test#1{\partial #1+}% - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii}\\ -\gdef\test#1{\partial \mathrm{#1}+}% - && {\testupgreeki}\\ - && {\testupgreekii} -\end{eqnarray*}% - - -\clearpage -\section{Slash kerning} - -\def\test#1{1/#1+} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - -\def\test#1{#1/2+} -\begin{eqnarray*} - && {\testupperi}\\ - && {\testupperii}\\ - && {\testloweri}\\ - && {\testlowerii}\\ - && {\testupgreeki}\\ - && {\testupgreekii}\\ - && {\testlowgreeki}\\ - && {\testlowgreekii}\\ - && {\testlowgreekiii} -\end{eqnarray*} - - -\clearpage -\section{Big operators} - -\def\testop#1{#1_{i=1}^{n} x^{n} \quad} -\begin{displaymath} - \testop\sum - \testop\prod - \testop\coprod - \testop\int - \testop\oint -\end{displaymath} -\begin{displaymath} - \testop\bigotimes - \testop\bigoplus - \testop\bigodot - \testop\bigwedge - \testop\bigvee - \testop\biguplus - \testop\bigcup - \testop\bigcap - \testop\bigsqcup -% \testop\bigsqcap -\end{displaymath} - - -\section{Radicals} - -\begin{displaymath} - \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad - \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad - \sqrt{\left(\frac{\cos x}{2}\right)} \qquad - \sqrt{\left(\frac{\sin x}{2}\right)} -\end{displaymath} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}} -\end{displaymath} -\endgroup % \delimitershortfall - - -\section{Over- and underbraces} - -\begin{displaymath} - \overbrace{x} \quad - \overbrace{x+y} \quad - \overbrace{x^{2}+y^{2}} \quad - \overbrace{x_{i}^{2}+y_{j}^{2}} \quad - \underbrace{x} \quad - \underbrace{x+y} \quad - \underbrace{x_{i}+y_{j}} \quad - \underbrace{x_{i}^{2}+y_{j}^{2}} \quad -\end{displaymath} - - -\section{Normal and wide accents} - -\begin{displaymath} - \dot{x} \quad - \ddot{x} \quad - \vec{x} \quad - \bar{x} \quad - \overline{x} \quad - \overline{xx} \quad - \tilde{x} \quad - \widetilde{x} \quad - \widetilde{xx} \quad - \widetilde{xxx} \quad - \hat{x} \quad - \widehat{x} \quad - \widehat{xx} \quad - \widehat{xxx} \quad -\end{displaymath} - -\begin{displaymath} - \hat{x} \quad - \check{x} \quad - \tilde{x} \quad - \acute{x} \quad - \grave{x} \quad - \dot{x} \quad - \ddot{x} \quad - \breve{x} \quad - \bar{x} \quad - \vec{x} \quad -\end{displaymath} - - -\section{Long arrows} - -\begin{displaymath} - \leftarrow \mathrel{-} \rightarrow \quad - \leftrightarrow \quad - \longleftarrow \quad - \longrightarrow \quad - \longleftrightarrow \quad - \Leftarrow = \Rightarrow \quad - \Leftrightarrow \quad - \Longleftarrow \quad - \Longrightarrow \quad - \Longleftrightarrow \quad -\end{displaymath} - - -\section{Left and right delimters} - -\def\testdelim#1#2{ - #1 f #2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -\end{displaymath} - -Using {\tt\string\left} and {\tt\string\right}. -\def\testdelim#1#2{ - \left#1 f \right#2 - } -\begin{displaymath} - \testdelim() - \testdelim[] - \testdelim\lfloor\rfloor - \testdelim\lceil\rceil - \testdelim\langle\rangle - \testdelim\{\} -% \testdelim\lgroup\rgroup -% \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim)( - \testdelim][ - \testdelim// - \testdelim\backslash\backslash - \testdelim/\backslash - \testdelim\backslash/ -\end{displaymath} - - -\clearpage -\section{Big-g-g delimters} - -\def\testdelim#1#2{% - - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 - - \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -} - -\begingroup -\delimitershortfall-1pt -\begin{displaymath} - \testdelim\lfloor\rfloor - \qquad - \testdelim() -\end{displaymath} -\begin{displaymath} - \testdelim\lceil\rceil - \qquad - \testdelim\{\} -\end{displaymath} -\begin{displaymath} - \testdelim[] - \qquad - \testdelim\lgroup\rgroup -\end{displaymath} -\begin{displaymath} - \testdelim\langle\rangle - \qquad - \testdelim\lmoustache\rmoustache -\end{displaymath} -\begin{displaymath} - \testdelim\uparrow\downarrow \quad - \testdelim\Uparrow\Downarrow \quad -\end{displaymath} -\endgroup % \delimitershortfall - -\clearpage - -\def\X#1{$x #1 y$ &\tt\string#1} -\def\Y#1{$\big#1$ &\tt\string#1} -\def\Z#1{$x #1 y$} -\def\W#1#2{$#1{#2}$ &\tt\string#1\string{#2\string}} - -\section{Binary Operators} - -\begin{tabular}{*8l} -\X\pm &\X\cap &\X\diamond &\X\oplus \\ -\X\mp &\X\cup &\X\bigtriangleup &\X\ominus \\ -\X\times &\X\uplus &\X\bigtriangledown &\X\otimes \\ -\X\div &\X\sqcap &\X\triangleleft &\X\oslash \\ -\X\ast &\X\sqcup &\X\triangleright &\X\odot \\ -\X\star &\X\vee &\X\lhd &\X\bigcirc \\ -\X\circ &\X\wedge &\X\rhd &\X\dagger \\ -\X\bullet &\X\setminus &\X\unlhd &\X\ddagger \\ -\X\cdot &\X\wr &\X\unrhd &\X\S \\ -\X+ &\X- &\X\amalg &\X\P -\end{tabular} - -\section{Relations} - -\begin{tabular}{*8l} -\X\leq &\X\geq &\X\equiv &\X\models \\ -\X\prec &\X\succ &\X\sim &\X\perp \\ -\X\preceq &\X\succeq &\X\simeq &\X\mid \\ -\X\ll &\X\gg &\X\asymp &\X\parallel \\ -\X\subset &\X\supset &\X\approx &\X\bowtie \\ -\X\subseteq &\X\supseteq &\X\cong &\X\Join \\ -\X\sqsubset &\X\sqsupset &\X\neq &\X\smile \\ -\X\sqsubseteq &\X\sqsupseteq &\X\doteq &\X\frown \\ -\X\in &\X\ni &\X\propto &\X= \\ -\X\vdash &\X\dashv &\X< &\X> \\ -\X: -\end{tabular} - - -\section{Punctuation} - -\begin{tabular}{*{5}{lp{3.2em}}} -\X, &\X; &\X\colon &\X\ldotp &\X\cdotp -\end{tabular} - -\section{Arrows} - -\begin{tabular}{*6l} -\X\leftarrow &\X\longleftarrow &\X\uparrow \\ -\X\Leftarrow &\X\Longleftarrow &\X\Uparrow \\ -\X\rightarrow &\X\longrightarrow &\X\downarrow \\ -\X\Rightarrow &\X\Longrightarrow &\X\Downarrow \\ -\X\leftrightarrow &\X\longleftrightarrow &\X\updownarrow \\ -\X\Leftrightarrow &\X\Longleftrightarrow &\X\Updownarrow \\ -\X\mapsto &\X\longmapsto &\X\nearrow \\ -\X\hookleftarrow &\X\hookrightarrow &\X\searrow \\ -\X\leftharpoonup &\X\rightharpoonup &\X\swarrow \\ -\X\leftharpoondown &\X\rightharpoondown &\X\nwarrow \\ -\X\rightleftharpoons &\X\leadsto -\end{tabular} - -\section{Miscellaneous Symbols} - -\begin{tabular}{*8l} -\X\ldots &\X\cdots &\X\vdots &\X\ddots \\ -\X\aleph &\X\prime &\X\forall &\X\infty \\ -\X\hbar &\X\emptyset &\X\exists &\X\Box \\ -\X\imath &\X\nabla &\X\neg &\X\Diamond \\ -\X\jmath &\X\surd &\X\flat &\X\triangle \\ -\X\ell &\X\top &\X\natural &\X\clubsuit \\ -\X\wp &\X\bot &\X\sharp &\X\diamondsuit \\ -\X\Re &\X\| &\X\backslash &\X\heartsuit \\ -\X\Im &\X\angle &\X\partial &\X\spadesuit \\ -\X\mho &\X. &\X| &\X! -\end{tabular} - -\section{Variable-sized Operators} - -\begin{tabular}{*6l} -\X\sum &\X\bigcap &\X\bigodot \\ -\X\prod &\X\bigcup &\X\bigotimes \\ -\X\coprod &\X\bigsqcup &\X\bigoplus \\ -\X\int &\X\bigvee &\X\biguplus \\ -\X\oint &\X\bigwedge -\end{tabular} - -\section{Log-like Operators} - -\begin{tabular}{*8l} -\Z\arccos &\Z\cos &\Z\csc &\Z\exp & - \Z\ker &\Z\limsup &\Z\min &\Z\sinh \\ -\Z\arcsin &\Z\cosh &\Z\deg &\Z\gcd & - \Z\lg &\Z\ln &\Z\Pr &\Z\sup \\ -\Z\arctan &\Z\cot &\Z\det &\Z\hom & - \Z\lim &\Z\log &\Z\sec &\Z\tan \\ -\Z\arg &\Z\coth &\Z\dim &\Z\inf & - \Z\liminf &\Z\max &\Z\sin &\Z\tanh -\end{tabular} - -\section{Delimiters} - -\begin{tabular}{*8l} -\X( &\X) &\X\uparrow &\X\Uparrow \\ -\X[ &\X] &\X\downarrow &\X\Downarrow \\ -\X\{ &\X\} &\X\updownarrow &\X\Updownarrow \\ -\X\lfloor &\X\rfloor &\X\lceil &\X\rceil \\ -\X\langle &\X\rangle &\X/ &\X\backslash \\ -\X| &\X\| -\end{tabular} - -\section{Large Delimiters} - -\begin{tabular}{*8l} -\Y\rmoustache& \Y\lmoustache& \Y\rgroup& \Y\lgroup\\[5pt] -\Y\arrowvert& \Y\Arrowvert& \Y\bracevert -\end{tabular} - -\section{Math Mode Accents} - -\begin{tabular}{*{10}l} -\W\hat{a} &\W\acute{a} &\W\bar{a} &\W\dot{a} &\W\breve{a}\\ -\W\check{a} &\W\grave{a} &\W\vec{a} &\W\ddot{a} &\W\tilde{a}\\ -\end{tabular} - -\section{Miscellaneous Constructions} - -\begin{tabular}{*4l} -\W\widetilde{abc} &\W\widehat{abc} \\ -\W\overleftarrow{abc} &\W\overrightarrow{abc} \\ -\W\overline{abc} &\W\underline{abc} \\ -\W\overbrace{abc} &\W\underbrace{abc} \\[5pt] -\W\sqrt{abc} &$\sqrt[n]{abc}$&\verb|\sqrt[n]{abc}| \\ -$f'$&\verb|f'| &$\frac{abc}{xyz}$&\verb|\frac{abc}{xyz}| -\end{tabular} - -\clearpage - -\section{AMS Delimiters} - -\begin{tabular}{*8l} -\X\ulcorner&\X\urcorner&\X\llcorner&\X\lrcorner -\end{tabular} - -\section{AMS Arrows} - -\begin{tabular}{*8l} -\X\dashrightarrow &\X\dashleftarrow - \\ \X\leftleftarrows &\X\leftrightarrows \\ -\X\Lleftarrow &\X\twoheadleftarrow - \\ \X\leftarrowtail &\X\looparrowleft \\ -\X\leftrightharpoons &\X\curvearrowleft - \\ \X\circlearrowleft &\X\Lsh \\ -\X\upuparrows &\X\upharpoonleft - \\ \X\downharpoonleft &\X\multimap \\ -\X\leftrightsquigarrow &\X\rightrightarrows - \\ \X\rightleftarrows &\X\rightrightarrows \\ -\X\rightleftarrows &\X\twoheadrightarrow - \\ \X\rightarrowtail &\X\looparrowright \\ -\X\rightleftharpoons &\X\curvearrowright - \\ \X\circlearrowright &\X\Rsh \\ -\X\downdownarrows &\X\upharpoonright - \\ \X\downharpoonright &\X\rightsquigarrow -\end{tabular} - -\section{AMS Negated Arrows} - -\begin{tabular}{*8l} -\X\nleftarrow &\X\nrightarrow \\ \X\nLeftarrow &\X\nRightarrow \\ -\X\nleftrightarrow&\X\nLeftrightarrow -\end{tabular} - -\section{AMS Greek} - -\begin{tabular}{*4l} -\X\digamma &\X\varkappa -\end{tabular} - -\section{AMS Hebrew} - -\begin{tabular}{*6l} -\X\beth &\X\daleth &\X\gimel -\end{tabular} - -\section{AMS Miscellaneous} - -\begin{tabular}{*8l} -\X\hbar &\X\hslash \\ \X\vartriangle &\X\triangledown \\ -\X\square &\X\lozenge \\ \X\circledS &\X\angle \\ -\X\measuredangle&\X\nexists \\ \X\mho &\X\Finv$^u$ \\ -\X\Game$^u$ &\X\Bbbk$^u$ \\ \X\backprime &\X\varnothing \\ -\X\blacktriangle&\X\blacktriangledown \\ \X\blacksquare&\X\blacklozenge \\ -\X\bigstar &\X\sphericalangle \\ \X\complement &\X\eth \\ -\X\diagup$^u$ &\X\diagdown$^u$ -\end{tabular} - -$^u$ Not defined in {\tt amssymb.sty}, define using the -\verb|\newsymbol| command. - - - -\section{AMS Binary Operators} - -\begin{tabular}{*8l} -\X\dotplus &\X\smallsetminus \\ \X\Cap &\X\Cup \\ -\X\barwedge &\X\veebar \\ \X\doublebarwedge&\X\boxminus \\ -\X\boxtimes &\X\boxdot \\ \X\boxplus &\X\divideontimes \\ -\X\ltimes &\X\rtimes \\ \X\leftthreetimes&\X\rightthreetimes \\ -\X\curlywedge &\X\curlyvee \\ \X\circleddash &\X\circledast \\ -\X\circledcirc &\X\centerdot \\ \X\intercal -\end{tabular} - -\section{AMS Relations} - -\begin{tabular}{*8l} -\X\leqq &\X\leqslant \\ \X\eqslantless &\X\lesssim \\ -\X\lessapprox &\X\approxeq \\ \X\lessdot &\X\lll \\ -\X\lessgtr &\X\lesseqgtr \\ \X\lesseqqgtr &\X\doteqdot \\ -\X\risingdotseq &\X\fallingdotseq\\ \X\backsim &\X\backsimeq \\ -\X\subseteqq &\X\Subset \\ \X\sqsubset &\X\preccurlyeq\\ -\X\curlyeqprec &\X\precsim \\ \X\precapprox &\X\vartriangleleft\\ -\X\trianglelefteq&\X\vDash \\ \X\Vvdash &\X\smallsmile \\ -\X\smallfrown &\X\bumpeq \\ \X\Bumpeq &\X\geqq \\ -\X\geqslant &\X\eqslantgtr \\ \X\gtrsim &\X\gtrapprox \\ -\X\gtrdot &\X\ggg \\ \X\gtrless &\X\gtreqless \\ -\X\gtreqqless &\X\eqcirc \\ \X\circeq &\X\triangleq \\ -\X\thicksim &\X\thickapprox \\ \X\supseteqq &\X\Supset \\ -\X\sqsupset &\X\succcurlyeq \\ \X\curlyeqsucc &\X\succsim \\ -\X\succapprox &\X\vartriangleright\\ \X\trianglerighteq&\X\Vdash \\ -\X\shortmid &\X\shortparallel\\ \X\between &\X\pitchfork \\ -\X\varpropto &\X\blacktriangleleft \\ \X\therefore &\X\backepsilon\\ -\X\blacktriangleright&\X\because -\end{tabular} - -\section{AMS Negated Relations} -\begin{tabular}{*8l} -\X\nless &\X\nleq \\ \X\nleqslant &\X\nleqq \\ -\X\lneq &\X\lneqq \\ \X\lvertneqq &\X\lnsim \\ -\X\lnapprox &\X\nprec \\ \X\npreceq &\X\precnsim \\ -\X\precnapprox &\X\nsim \\ \X\nshortmid &\X\nmid \\ -\X\nvdash &\X\nvDash \\ \X\ntriangleleft&\X\ntrianglelefteq\\ -\X\nsubseteq &\X\subsetneq \\ \X\varsubsetneq&\X\subsetneqq \\ -\X\varsubsetneqq&\X\ngtr \\ \X\ngeq &\X\ngeqslant \\ -\X\ngeqq &\X\gneq \\ \X\gneqq &\X\gvertneqq \\ -\X\gnsim &\X\gnapprox \\ \X\nsucc &\X\nsucceq \\ -&nsucceqq &\X\succnsim \\ \X\succnapprox &\X\ncong \\ -\X\nshortparallel&\X\nparallel \\ \X\nvDash &\X\nVDash \\ -\X\ntriangleright&\X\ntrianglerighteq \\ \X\nsupseteq&\X\nsupseteqq\\ -\X\supsetneq &\X\varsupsetneq \\ \X\supsetneqq &\X\varsupsetneqq -\end{tabular} - -\end{document} - -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: - - -%%% NOT WORKING IN SANS MODE: -\mathcal -\mathbm \ No newline at end of file diff --git a/2_Math_Tests/Obsolete/stackexchange.pdf b/2_Math_Tests/Obsolete/stackexchange.pdf deleted file mode 100644 index 14aa226..0000000 Binary files a/2_Math_Tests/Obsolete/stackexchange.pdf and /dev/null differ diff --git a/2_Math_Tests/Obsolete/stackexchange.tex b/2_Math_Tests/Obsolete/stackexchange.tex deleted file mode 100644 index 5946b4a..0000000 --- a/2_Math_Tests/Obsolete/stackexchange.tex +++ /dev/null @@ -1,703 +0,0 @@ -\documentclass{article} - -% See https://tex.stackexchange.com/questions/41497/how-to-typeset-some-text-including-math-content-in-sans-serif -% See https://tex.stackexchange.com/questions/33165/make-mathfont-respect-the-surrounding-family - -\usepackage[LGR, LY1, OT1, T1]{fontenc} -%\usepackage{lmodern} - -\usepackage{fonttable} - -\usepackage[ngerman, english, USenglish]{babel} -\usepackage{blindtext} - -\usepackage{xcolor} - -\usepackage{amsmath, amssymb} -% Inspired by https://tex.stackexchange.com/questions/251460/how-to-put-symbols-of-equal-size-on-top-of-each-other -\newcommand{\succeqq}{% - \mathrel{% - \vcenter{\offinterlineskip - \ialign{##\cr$\succ$\cr\noalign{\kern 1pt}$=$\cr}% - }% - }% -} -\newcommand{\nsucceqq}{\mathrel{\not\succeqq}} -\usepackage{mathtools} - -\usepackage[charter, greeklowercase=italicized, greekuppercase=italicized]{mathdesign} -%\usepackage[sloped]{fourier} -\let\savermfamily\rmdefault -\let\savermmdseries\seriesdefault -\let\savermbfseries\bfdefault - -\usepackage[book, medium, lining, tabular]{FiraSans} -\makeatletter -\renewcommand{\mdseries@sf}{sl} % book as the md series -\renewcommand{\bfseries@sf}{mb} % medium as the bf series -\makeatother -\newcommand{\savesffamily}{\sfdefault} -\makeatletter -\newcommand{\savesfmdseries}{\mdseries@sf} -\newcommand{\savesfbfseries}{\bfseries@sf} -\makeatother - -% Necessary for use of kpfonts --> -\makeatletter -\newif\ifkp@upRm -\newif\ifkp@osm -\newif\ifkp@vosm -\makeatother -% <-- -\DeclareMathVersion{normalup} -\DeclareMathVersion{boldup} -\DeclareMathVersion{sans} -%\SetSymbolFont{operators}{sans}{OT1}{jkpss}{m}{n} % From http://mirrors.ctan.org/fonts/kpfonts/latex/kpfonts.sty -\SetSymbolFont{letters} {sans}{OML}{jkpss}{m}{it} % From http://mirrors.ctan.org/fonts/kpfonts/latex/kpfonts.sty -%\SetSymbolFont{letters} {sans}{OML}{cmbrm}{m}{it} -%\SetSymbolFont{symbols}{sans}{OMS}{cmbrs}{m}{n} -\SetSymbolFont{symbols} {sans}{OMS}{jkp} {m}{n} % From http://mirrors.ctan.org/fonts/kpfonts/latex/kpfonts.sty -\SetMathAlphabet{\mathit}{sans}{OT1}{\savesffamily}{\savesfmdseries}{it} -\SetMathAlphabet{\mathbf}{sans}{OT1}{\savesffamily}{\savesfbfseries}{n} -\SetMathAlphabet{\mathtt}{sans}{OT1}{cmtl}{m}{n} -\SetMathAlphabet{\mathcal}{sans}{OMS}{ntxsy}{m}{n} - % See 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{T1}{\savesffamily}{\savesfbfseries}{it} -\SetSymbolFont{italicglyphs} {boldsansup}{T1}{\savesffamily}{\savesfbfseries}{n} - -% Digits -\DeclareMathSymbol{0}{\mathalpha}{uprightglyphs}{`0} -\DeclareMathSymbol{1}{\mathalpha}{uprightglyphs}{`1} -\DeclareMathSymbol{2}{\mathalpha}{uprightglyphs}{`2} -\DeclareMathSymbol{3}{\mathalpha}{uprightglyphs}{`3} -\DeclareMathSymbol{4}{\mathalpha}{uprightglyphs}{`4} -\DeclareMathSymbol{5}{\mathalpha}{uprightglyphs}{`5} -\DeclareMathSymbol{6}{\mathalpha}{uprightglyphs}{`6} -\DeclareMathSymbol{7}{\mathalpha}{uprightglyphs}{`7} -\DeclareMathSymbol{8}{\mathalpha}{uprightglyphs}{`8} -\DeclareMathSymbol{9}{\mathalpha}{uprightglyphs}{`9} -% Operators and punctuation -\DeclareMathSymbol{+}{\mathbin} {operators} {`+} % Not from uprightglyphs due to bad spacing -\DeclareMathSymbol{=}{\mathrel} {operators} {`=} % Not from uprightglyphs due to bad spacing -\DeclareMathSymbol{/}{\mathbin} {uprightglyphs}{`/} -\DeclareMathSymbol{(}{\mathopen} {uprightglyphs}{`(} -\DeclareMathSymbol{)}{\mathclose}{uprightglyphs}{`)} -\DeclareMathSymbol{.}{\mathord} {uprightglyphs}{`.} -\DeclareMathSymbol{,}{\mathpunct}{uprightglyphs}{`,} -\DeclareMathSymbol{;}{\mathpunct}{uprightglyphs}{`;} -% Uppercase Latin characters -\DeclareMathSymbol{A}{\mathalpha}{italicglyphs}{`A} -\DeclareMathSymbol{B}{\mathalpha}{italicglyphs}{`B} -\DeclareMathSymbol{C}{\mathalpha}{italicglyphs}{`C} -\DeclareMathSymbol{D}{\mathalpha}{italicglyphs}{`D} -\DeclareMathSymbol{E}{\mathalpha}{italicglyphs}{`E} -\DeclareMathSymbol{F}{\mathalpha}{italicglyphs}{`F} -\DeclareMathSymbol{G}{\mathalpha}{italicglyphs}{`G} -\DeclareMathSymbol{H}{\mathalpha}{italicglyphs}{`H} -\DeclareMathSymbol{I}{\mathalpha}{italicglyphs}{`I} -\DeclareMathSymbol{J}{\mathalpha}{italicglyphs}{`J} -\DeclareMathSymbol{K}{\mathalpha}{italicglyphs}{`K} -\DeclareMathSymbol{L}{\mathalpha}{italicglyphs}{`L} -\DeclareMathSymbol{M}{\mathalpha}{italicglyphs}{`M} -\DeclareMathSymbol{N}{\mathalpha}{italicglyphs}{`N} -\DeclareMathSymbol{O}{\mathalpha}{italicglyphs}{`O} -\DeclareMathSymbol{P}{\mathalpha}{italicglyphs}{`P} -\DeclareMathSymbol{Q}{\mathalpha}{italicglyphs}{`Q} -\DeclareMathSymbol{R}{\mathalpha}{italicglyphs}{`R} -\DeclareMathSymbol{S}{\mathalpha}{italicglyphs}{`S} -\DeclareMathSymbol{T}{\mathalpha}{italicglyphs}{`T} -\DeclareMathSymbol{U}{\mathalpha}{italicglyphs}{`U} -\DeclareMathSymbol{V}{\mathalpha}{italicglyphs}{`V} -\DeclareMathSymbol{W}{\mathalpha}{italicglyphs}{`W} -\DeclareMathSymbol{X}{\mathalpha}{italicglyphs}{`X} -\DeclareMathSymbol{Y}{\mathalpha}{italicglyphs}{`Y} -\DeclareMathSymbol{Z}{\mathalpha}{italicglyphs}{`Z} -% lowercase Latin characters -\DeclareMathSymbol{a}{\mathalpha}{italicglyphs}{`a} -\DeclareMathSymbol{b}{\mathalpha}{italicglyphs}{`b} -\DeclareMathSymbol{c}{\mathalpha}{italicglyphs}{`c} -\DeclareMathSymbol{d}{\mathalpha}{italicglyphs}{`d} -\DeclareMathSymbol{e}{\mathalpha}{italicglyphs}{`e} -\DeclareMathSymbol{f}{\mathalpha}{italicglyphs}{`f} -\DeclareMathSymbol{g}{\mathalpha}{italicglyphs}{`g} -\DeclareMathSymbol{h}{\mathalpha}{italicglyphs}{`h} -\DeclareMathSymbol{i}{\mathalpha}{italicglyphs}{`i} -\DeclareMathSymbol{j}{\mathalpha}{italicglyphs}{`j} -\DeclareMathSymbol{k}{\mathalpha}{italicglyphs}{`k} -\DeclareMathSymbol{l}{\mathalpha}{italicglyphs}{`l} -\DeclareMathSymbol{m}{\mathalpha}{italicglyphs}{`m} -\DeclareMathSymbol{n}{\mathalpha}{italicglyphs}{`n} -\DeclareMathSymbol{o}{\mathalpha}{italicglyphs}{`o} -\DeclareMathSymbol{p}{\mathalpha}{italicglyphs}{`p} -\DeclareMathSymbol{q}{\mathalpha}{italicglyphs}{`q} -\DeclareMathSymbol{r}{\mathalpha}{italicglyphs}{`r} -\DeclareMathSymbol{s}{\mathalpha}{italicglyphs}{`s} -\DeclareMathSymbol{t}{\mathalpha}{italicglyphs}{`t} -\DeclareMathSymbol{u}{\mathalpha}{italicglyphs}{`u} -\DeclareMathSymbol{v}{\mathalpha}{italicglyphs}{`v} -\DeclareMathSymbol{w}{\mathalpha}{italicglyphs}{`w} -\DeclareMathSymbol{x}{\mathalpha}{italicglyphs}{`x} -\DeclareMathSymbol{y}{\mathalpha}{italicglyphs}{`y} -\DeclareMathSymbol{z}{\mathalpha}{italicglyphs}{`z} - -%% Sansserif Greek letters -%\DeclareSymbolFont{lgrgreek}{LGR}{\savesffamily}{\savesfmdseries}{it} -%\SetSymbolFont{lgrgreek}{sans} {LGR}{\savesffamily}{\savesfmdseries}{it} -%\SetSymbolFont{lgrgreek}{boldsans}{LGR}{\savesffamily}{\savesfbfseries}{it} - -% The following is taken from -% https://tex.stackexchange.com/questions/116389/automatic-upright-math-when-text-is-in-italic/116399#116399 -% Filling in ``missing'' Greek glyphs for completeness -% (not really necessary, since they look identical to Latin glyphs and are thus almost never used) -\newcommand{\omicron}{o} -\newcommand{\Digamma}{F} -\newcommand{\Alpha} {A} -\newcommand{\Beta} {B} -\newcommand{\Epsilon}{E} -\newcommand{\Zeta} {Z} -\newcommand{\Eta} {H} -\newcommand{\Iota} {I} -\newcommand{\Kappa} {K} -\newcommand{\Mu} {M} -\newcommand{\Nu} {N} -\newcommand{\Omicron}{O} -\newcommand{\Rho} {P} -\newcommand{\Tau} {T} -\newcommand{\Chi} {X} -% Save original definitions of the Greek letters --> -\makeatletter -\@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% - Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{% - \expandafter\let\csname\@tempa orig\expandafter\endcsname\csname\@tempa\endcsname% - \expandafter\let\csname\@tempa uporig\expandafter\endcsname\csname\@tempa up\endcsname% - }% -\makeatother -\newcommand{\textformath}[1]{% - \IfInBoldMode% - \IfInUpMode\textbf{#1}\else\textit{\bfseries #1}\fi\relax% - \else - \IfInUpMode\textup{#1}\else\textit{#1}\fi\relax% - \fi\relax% -} -% LGR-encoded Greek letters --> -% Uppercase -\newcommand{\AlphaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont A}}} -\newcommand{\BetaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont B}}} -\newcommand{\GammaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont G}}} -\newcommand{\DeltaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont D}}} -\newcommand{\EpsilonLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont E}}} -\newcommand{\ZetaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont Z}}} -\newcommand{\EtaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont H}}} -\newcommand{\ThetaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont J}}} -\newcommand{\IotaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont I}}} -\newcommand{\KappaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont K}}} -\newcommand{\LambdaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont L}}} -\newcommand{\MuLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont M}}} -\newcommand{\NuLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont N}}} -\newcommand{\XiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont X}}} -\newcommand{\OmicronLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont O}}} -\newcommand{\PiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont P}}} -\newcommand{\RhoLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont R}}} -\newcommand{\SigmaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont S}}} -\newcommand{\TauLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont T}}} -\newcommand{\UpsilonLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont U}}} -\newcommand{\PhiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont F}}} -\newcommand{\ChiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont Q}}} -\newcommand{\PsiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont Y}}} -\newcommand{\OmegaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont W}}} -\newcommand{\DigammaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont \char195}}} -%% lowercase -\newcommand{\alphaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont a}}} -\newcommand{\betaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont b}}} -\newcommand{\gammaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont g}}} -\newcommand{\deltaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont d}}} -\newcommand{\epsilonLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont e}}} -\newcommand{\zetaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont z}}} -\newcommand{\etaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont h}}} -\newcommand{\thetaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont j}}} -\newcommand{\iotaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont i}}} -\newcommand{\kappaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont k}}} -\newcommand{\lambdaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont l}}} -\newcommand{\muLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont m}}} -\newcommand{\nuLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont n}}} -\newcommand{\xiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont x}}} -\newcommand{\omicronLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont o}}} -\newcommand{\piLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont p}}} -\newcommand{\rhoLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont r}}} -\newcommand{\sigmaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont s}}} -\newcommand{\varsigmaLGR}{\mathord{\textformath{\fontencoding{LGR}\selectfont c}}} -\newcommand{\tauLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont t}}} -\newcommand{\upsilonLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont u}}} -\newcommand{\phiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont f}}} -\newcommand{\chiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont q}}} -\newcommand{\psiLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont y}}} -\newcommand{\omegaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont w}}} -\newcommand{\digammaLGR} {\mathord{\textformath{\fontencoding{LGR}\selectfont \char147}}} -% Uppercase, upright -\newcommand{\AlphaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont A}}} -\newcommand{\BetaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont B}}} -\newcommand{\GammaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont G}}} -\newcommand{\DeltaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont D}}} -\newcommand{\EpsilonupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont E}}} -\newcommand{\ZetaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont Z}}} -\newcommand{\EtaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont H}}} -\newcommand{\ThetaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont J}}} -\newcommand{\IotaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont I}}} -\newcommand{\KappaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont K}}} -\newcommand{\LambdaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont L}}} -\newcommand{\MuupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont M}}} -\newcommand{\NuupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont N}}} -\newcommand{\XiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont X}}} -\newcommand{\OmicronupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont O}}} -\newcommand{\PiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont P}}} -\newcommand{\RhoupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont R}}} -\newcommand{\SigmaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont S}}} -\newcommand{\TauupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont T}}} -\newcommand{\UpsilonupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont U}}} -\newcommand{\PhiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont F}}} -\newcommand{\ChiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont Q}}} -\newcommand{\PsiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont Y}}} -\newcommand{\OmegaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont W}}} -\newcommand{\DigammaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont \char195}}} -%% lowercase, upright -\newcommand{\alphaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont a}}} -\newcommand{\betaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont b}}} -\newcommand{\gammaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont g}}} -\newcommand{\deltaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont d}}} -\newcommand{\epsilonupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont e}}} -\newcommand{\zetaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont z}}} -\newcommand{\etaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont h}}} -\newcommand{\thetaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont j}}} -\newcommand{\iotaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont i}}} -\newcommand{\kappaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont k}}} -\newcommand{\lambdaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont l}}} -\newcommand{\muupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont m}}} -\newcommand{\nuupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont n}}} -\newcommand{\xiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont x}}} -\newcommand{\omicronupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont o}}} -\newcommand{\piupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont p}}} -\newcommand{\rhoupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont r}}} -\newcommand{\sigmaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont s}}} -\newcommand{\varsigmaupLGR}{\mathord{\textup{\fontencoding{LGR}\selectfont c}}} -\newcommand{\tauupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont t}}} -\newcommand{\upsilonupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont u}}} -\newcommand{\phiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont f}}} -\newcommand{\chiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont q}}} -\newcommand{\psiupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont y}}} -\newcommand{\omegaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont w}}} -\newcommand{\digammaupLGR} {\mathord{\textup{\fontencoding{LGR}\selectfont \char147}}} - -% Based on description of the TS1 encoding in -% http://ctan.math.illinois.edu/macros/latex/doc/encguide.pdf: -%\let \oldpm \pm -%\let \oldtimes \times -%\let \olddiv \div -%\makeatletter -%\newcommand{\pmsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"B1}}} -%\newcommand{\timessf}{\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"D6}}} -%\newcommand{\divsf} {\mathbin{\text{\usefont{TS1}{\sfdefault}{\f@series}{n}\char"F6}}} -%\makeatother -\makeatletter -\newcommand*{\sansmath}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% - Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{% - \expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa LGR\endcsname% - \expandafter\let\csname\@tempa up\expandafter\endcsname\csname\@tempa upLGR\endcsname% - }% - \mathversion{sans}% - %\renewcommand{\pm}{\pmsf}% - %\renewcommand{\times}{\timessf}% - %\renewcommand{\div}{\divsf}% -} -\newcommand*{\unsansmath}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% - Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{% - \expandafter\let\csname\@tempa\expandafter\endcsname\csname\@tempa orig\endcsname% - \expandafter\let\csname\@tempa up\expandafter\endcsname\csname\@tempa uporig\endcsname% - }% - \mathversion{normal}% - %\renewcommand{\pm}{\oldpm}% - %\renewcommand{\times}{\oldtimes}% - %\renewcommand{\div}{\olddiv}% -} -\makeatother - -%\makeatletter -% \@for\@tempa:=% -% %alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% -% %pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% -% Gamma,Delta,Theta,Lambda,Xi,Pi,Sigma,Upsilon,Phi,Psi,Omega% -% \do{\expandafter\let\csname\@tempa\expandafter\endcsname\csname other\@tempa\endcsname}% -%\makeatother - -\newcommand\hmmax{0} -\newcommand\bmmax{0} -\usepackage{bm} -\let \bmorig \bm -\renewcommand{\bm}[1]{% - \InBoldModetrue% - \IfInSansMode% - \textbf{\mathversion{boldsans}\(#1\)}% - \else% - \bmorig{#1}% - \fi\relax% -} -\renewcommand{\mathbf}[1]{\bm{#1}} -\newcommand{\mathbfit}[1]{\mathbf{\mathit{#1}}} -\renewcommand{\mathcal}[1]{\mathscr{#1}} - -\newif\IfInSansMode -\newif\IfInBoldMode -\newif\IfInUpMode -\let\oldsf\sffamily -\renewcommand*{\sffamily}{\oldsf\sansmath\InSansModetrue} -\let\oldbf\bfseries -\renewcommand*{\bfseries}{\oldbf\InBoldModetrue\IfInSansMode\sansmath\mathversion{boldsans}\else\mathversion{bold}\fi\relax} -\let\oldmd\mdseries -\renewcommand*{\mdseries}{\oldmd\InBoldModefalse\IfInSansMode\sansmath\mathversion{sans}\else\mathversion{normal}\fi\relax} -\let\oldnorm\normalfont -\renewcommand*{\normalfont}{\oldnorm\InSansModefalse\mathversion{normal}\unsansmath} -\let\oldrm\rmfamily -\renewcommand*{\rmfamily}{\oldrm\InSansModefalse\mathversion{normal}\unsansmath} - -\makeatletter -\@for\@tempa:=% - arccos,arcsin,arctan,arg,cos,cosh,cot,coth,csc,deg,det,dim,exp,gcd,hom,inf,% - ker,lg,lim,liminf,limsup,ln,log,max,min,Pr,sec,sin,sinh,sup,tan,tanh% - \do{% - \expandafter\let\csname\@tempa\endcsname\relax% - }% -\makeatother -\DeclareMathOperator {\arccos}{\mathup{arccos}} -\DeclareMathOperator {\arcsin}{\mathup{arcsin}} -\DeclareMathOperator {\arctan}{\mathup{arctan}} -\DeclareMathOperator {\arg} {\mathup{arg}} -\DeclareMathOperator {\cos} {\mathup{cos}} -\DeclareMathOperator {\cosh} {\mathup{cosh}} -\DeclareMathOperator {\cot} {\mathup{cot}} -\DeclareMathOperator {\coth} {\mathup{coth}} -\DeclareMathOperator {\csc} {\mathup{csc}} -\DeclareMathOperator {\deg} {\mathup{deg}} -\DeclareMathOperator {\det} {\mathup{det}} -\DeclareMathOperator {\dim} {\mathup{dim}} -\DeclareMathOperator {\exp} {\mathup{exp}} -\DeclareMathOperator {\gcd} {\mathup{gcd}} -\DeclareMathOperator*{\hom} {\mathup{hom}} -\DeclareMathOperator*{\inf} {\mathup{inf}} -\DeclareMathOperator {\ker} {\mathup{ker}} -\DeclareMathOperator {\lg} {\mathup{lg}} -\DeclareMathOperator {\lim} {\mathup{lim}} -\DeclareMathOperator*{\liminf}{\mathup{lim\,inf}} -\DeclareMathOperator*{\limsup}{\mathup{lim\,sup}} -\DeclareMathOperator {\ln} {\mathup{ln}} -\DeclareMathOperator {\log} {\mathup{log}} -\DeclareMathOperator*{\max} {\mathup{max}} -\DeclareMathOperator*{\min} {\mathup{min}} -\DeclareMathOperator {\Pr} {\mathup{Pr}} -\DeclareMathOperator {\sec} {\mathup{sec}} -\DeclareMathOperator {\sin} {\mathup{sin}} -\DeclareMathOperator {\sinh} {\mathup{sinh}} -\DeclareMathOperator*{\sup} {\mathup{sup}} -\DeclareMathOperator {\tan} {\mathup{tan}} -\DeclareMathOperator {\tanh} {\mathup{tanh}} - -% An auxiliary command to display the current font settings --> -\makeatletter -\newcommand{\showfont}{{% - \color{magenta} - \textit{Encoding:} \f@encoding{}, - \textit{family:} \f@family{}, - \textit{series:} \f@series{}, - \textit{shape:} \f@shape{}, - \textit{size:} \f@size{}. -}} -\makeatother -% <-- - -\let \mathnormalorig \mathnormal -\renewcommand{\mathnormal}[1]{% - \IfInSansMode% - \IfInBoldMode% - \mathversion{boldsans}% - \textbf{\(#1\)}% - \else% - \mathversion{sans}% - \textmd{\(#1\)}% - \fi\relax% - \else% - \mathnormalorig{#1}% - \fi\relax% -} - -\let \mathrmorig \mathrm -\renewcommand{\mathrm}[1]{% - \IfInSansMode% - \textrm{% - \IfInBoldMode% - \mathversion{bold}% - \(\mathrmorig{#1}\)% - \else% - \mathversion{normal}% - \(\mathrmorig{#1}\)% - \fi\relax% - } - \else% - \mathrmorig{#1}% - \fi\relax% -} - -\newcommand{\mathup}[1]{% - \IfInSansMode% - \textup{% - \InUpModetrue% - \IfInBoldMode% - \mathversion{boldsansup}% - \(#1\)% - \else% - \mathversion{sansup}% - \(#1\)% - \fi\relax% - }% - \else% - \mathrm{#1}% - \fi\relax% -} - -\makeatletter -\newcommand*{\checkgreekletters}{% - \@for\@tempa:=% - alpha,beta,gamma,delta,epsilon,zeta,eta,theta,iota,kappa,lambda,mu,nu,xi,% - omicron,pi,rho,sigma,varsigma,tau,upsilon,phi,chi,psi,omega,digamma,% - Alpha,Beta,Gamma,Delta,Epsilon,Zeta,Eta,Theta,Iota,Kappa,Lambda,Mu,Nu,Xi,% - Omicron,Pi,Rho,Sigma,Tau,Upsilon,Phi,Chi,Psi,Omega,Digamma% - \do{$\csname\@tempa\endcsname,$ }% -} -\makeatother - -\input{mathtest_defs} - -\frenchspacing - - - -%%%%%%%%%%%%%%%%%%%%%%% -%% DOCUMENT BEGINS %% -%%%%%%%%%%%%%%%%%%%%%%% - - -\begin{document} - - -\selectlanguage{english} - -\setlength{\parindent}{0pt} - -\begin{table}[p] - \small - \fontencoding{T1}\sffamily\selectfont - \makeatletter - \newcommand{\whatfont}{T1{\f@family}/m/{\f@shape}} - \makeatother - \caption{Glyphs contained in the font ``\whatfont''} - \makeatletter - \xfonttable{\f@encoding}{\f@family}{\f@series}{\f@shape} - \makeatother -\end{table} - - -\section{Inline-$\mu\alpha\tau\eta$} - -\begin{tabular}{@{} l l @{}} - Normal: & A $Ax\alpha+\chi b$ \\ -\sffamily Sans: & \sffamily A $Ax\alpha+\chi b$ \\ -\sffamily\bfseries Bold-Sans: & \sffamily\bfseries A $Ax\alpha+\chi b$ \\ - Normal: & A $Ax\alpha+\chi b$ \\ -\bfseries Bold: & \bfseries A $Ax\alpha+\chi b$ -\end{tabular} - -\section{Display-$\mu\alpha\tau\eta$} -Text in roman family -\begin{equation} - \sqrt{(a_1+a_2+\gamma)^2}=\sum_{i=1}^2 a_i + \gamma -\end{equation} - -\sffamily -Text in sans family -\begin{equation} - \sqrt{(a_1+a_2+\gamma)^2}=\sum_{i=1}^2 a_i + \gamma -\end{equation} - -\sffamily\bfseries -Text in sans family, bold version -\begin{equation} - \sqrt{(a_1+a_2+\gamma)^2}=\sum_{i=1}^2 a_i + \gamma -\end{equation} - -\rmfamily\bfseries -Text in roman family, bold version -\begin{equation} - \sqrt{(a_1+a_2+\gamma)^2}=\sum_{i=1}^2 a_i + \gamma -\end{equation} - - -\section{Saved for sans math} -\noindent -\savesffamily\ -\savesfmdseries\ -\savesfbfseries - -{\Huge $x$\textit{x}$f$\textit{f}$B$\textit{B}} - -\noindent Size of math and text letters should be identical. - - -\section{Serif} - -\rmfamily\mdseries\mathversion{normal}% -\blindmathpaper - -\paragraph{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of i.i.d. random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -$$ 4/3 = 1.333 $$ - - -\section{Serif Bold} - -\rmfamily\bfseries\mathversion{bold} -\blindmathpaper - -\paragraph{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -$$ 4/3 = 1.333 $$ - - -\section{Sans Serif} - -\sffamily\mdseries\mathversion{sans}% -\sansmath% -\blindmathpaper - -\mathversion{sans}% -\paragraph{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -$$ 4/3 = 1.333 $$ - -\showfont - -\blindmathpaper - - -\section{Sans Serif Bold} - -\sffamily\bfseries\mathversion{boldsans} -\blindmathpaper - -\paragraph{Simplest form of the \textit{Central Limit Theorem}:} \textit{Let -$X_1$, $X_2,\cdots$ be a sequence of iid random variables with mean~$0$ -and variance $1$ on a probability space $(\Omega,\mathcal{F},\Pr)$. Then} -\[\Pr\left(\frac{X_1+\cdots+X_n}{\sqrt{n}}\le v\right)\to\mathfrak{N}(v)\coloneq -\int_{-\infty}^v \frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\, -\mathrm{d}t\quad\mbox{as $n\to\infty$,}\] -\textit{or, equivalently, letting} $S_n\coloneq\sum_1^n X_k$, -\[\mathbb{E} f\left(S_n/\sqrt{n}\right)\to \int_{-\infty}^\infty f(t) -\frac{\mathrm{e}^{-t^2/2}}{\sqrt{2\mathup{\pi}}}\,\mathrm{d}t -\quad\mbox{as $n\to\infty$, for every $f\in\mathrm{b} -\mathcal{C}(\mathbb{R})$.}\] - -$$ 4/3 = 1.333 $$ - -\showfont - -\blindmathpaper - -\input{../mathtest_serif} -\input{../mathtest_serifbold} -\input{../mathtest_sans} -\input{../mathtest_sansbold} - - -\end{document} \ No newline at end of file diff --git a/2_Math_Tests/mathtest.tex b/2_Math_Tests/mathtest.tex index 4edc4cb..1e382e6 100644 --- a/2_Math_Tests/mathtest.tex +++ b/2_Math_Tests/mathtest.tex @@ -3,61 +3,61 @@ \section{Math Test \showfamily} \subsection{Overview \showfamily} {\parindent 0pt -Default: $a \alpha b \beta G \Gamma P \Pi \Sigma \sigma$ +Default: $a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma$ -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathnormal: $\mathnormal{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathit: $\mathit{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbf: $\mathbf{a \alphaup b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbf: $\mathbf{a \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbfit: $\mathbfit{a \alpha b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbfup: $\mathbfup{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbfup: $\mathbfup{a \alpha b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ \bigskip {\sffamily -Default: $a \alpha b \beta G \Gamma P \Pi \Sigma \sigma$ +Default: $a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma$ -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathnormal: $\mathnormal{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathit: $\mathit{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbf: $\mathbf{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbfit: $\mathbfit{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbfup: $\mathbfup{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbfup: $\mathbfup{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ } \bigskip {\sffamily\bfseries -Default: $a \alpha b \beta G \Gamma P \Pi \Sigma \sigma$ +Default: $a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma$ -mathnormal: $\mathnormal{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathnormal: $\mathnormal{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathrm: $\mathrm{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathrm: $\mathrm{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathup: $\mathup{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathup: $\mathup{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathit: $\mathit{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathit: $\mathit{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbf: $\mathbf{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbf: $\mathbf{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbfit: $\mathbfit{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbfit: $\mathbfit{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ -mathbfup: $\mathbfup{a \alpha b \beta G \Gamma P \Pi \Sigma \sigma}$ +mathbfup: $\mathbfup{a \alpha \alphaup b \beta G \Gamma \upGamma P \Pi \Sigma \sigma}$ } } diff --git a/2_Math_Tests/mathtest_TeXbook.tex b/2_Math_Tests/mathtest_TeXbook.tex new file mode 100644 index 0000000..1d6c215 --- /dev/null +++ b/2_Math_Tests/mathtest_TeXbook.tex @@ -0,0 +1,174 @@ +Most of the following examples are taken from \textit{The \TeX book} \citep[][see \url{https://ctan.org/pkg/texbook}]{Knuth1984} and were adapted for \LaTeX\ from Karl Berry's torture test for plain \TeX\ math fonts. + +\noindent $x + y - z$, \quad $x + y * z$, \quad $z * y / z$, \quad +$(x+y)(x-y) = x^2 - y^2$, + +\noindent $x \times y \cdot z = [x\, y\, z]$, \quad $x\circ y \bullet z$, \quad +$x\cup y \cap z$, \quad $x\sqcup y \sqcap z$, \quad + +\noindent $x \vee y \wedge z$, \quad $x\pm y\mp z$, \quad +$x=y/z$, \;\; $x:=y$, \;\; $x\le y \ne z$, \;\; $x \sim y \simeq z$ +$x \equiv y \nequiv z$, \;\; $x\subset y \subseteq z$ + +\noindent $\sin2\theta=2\sin\theta\cos\theta$, \quad +$\hbox{O}(n\log n\log n)$, \quad +$\Pr(X>x)=\exp(-x/\mu)$, + +\noindent $\bigl(x\in A(n)\bigm|x\in B(n)\bigr)$, \quad +$\bigcup_n X_n\bigm\|\bigcap_n Y_n$ + +% page 178 + +\noindent In-text matrices $\binom{1\,1}{0\,1}$ and $\bigl(\genfrac{}{}{0pt}{}{a}{1}\genfrac{}{}{0pt}{}{b}{m}\genfrac{}{}{0pt}{}{c}{n}\bigr)$. + +% page 142 + +$$a_0+\frac1{\displaystyle a_1 + + {\strut \frac1{\displaystyle a_2 + + {\strut \frac1{\displaystyle a_3 + + {\strut \frac1{\displaystyle a_4}}}}}}}$$ + +% page 143 + +$$\binom{p}{2}x^2y^{p-2} - \frac1{1 - x}\frac{1}{1 - x^2} += +\frac{a+1}{b}\bigg/\frac{c+1}{d}.$$ + +%% page 145 + +$$\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}}}$$ + +$$\sqrt[n]{1+\sqrt[k]{1+\sqrt[5]{1+\sqrt[4]{1+\sqrt[3]{1+x}}}}}$$ + +%% page 147 + +$$\left(\frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2}\right) +\bigl|\varphi(x+iy)\bigr|^2=0$$ + +%% page 149 + +% $$\pi(n)=\sum_{m=2}^n\left\lfloor\biggl(\sum_{k=1}^{m-1}\bigl +% \lfloor(m/k)\big/\lceil m/k\rceil\bigr\rfloor\biggr)^{-1}\right\rfloor.$$ + +$$\pi(n)=\sum_{m=2}^n\left\lfloor\Biggl(\sum_{k=1}^{m-1}\bigl +\lfloor(m/k)\big/\lceil m/k\rceil\bigr\rfloor\Biggr)^{-1}\right\rfloor.$$ + +% page 168 + +$$\int_0^\infty \frac{t - i b}{t^2 + b^2}e^{iat}\,\mathup{d}t=e^{ab}E_1(ab), \quad +a,b > 0.$$ + +% page 176 + +$$\mathbf{A} \coloneq \begin{pmatrix}x-\lambda&1&0\\ +0&x-\lambda&1\\ +0&0&x-\lambda\end{pmatrix}.$$ + +$$\left\lgroup\begin{matrix}a&b&c\\ d&e&f\\\end{matrix}\right\rgroup +\left\lgroup\begin{matrix}u&x\cr v&y\cr w&z\end{matrix}\right\rgroup$$ + +% page 177 + +$$\mathbf{A} = \begin{pmatrix}a_{11}&a_{12}&\ldots&a_{1n}\\ +a_{21}&a_{22}&\ldots&a_{2n}\\ +\vdots&\vdots&\ddots&\vdots\\ +a_{m1}&a_{m2}&\ldots&a_{mn}\end{pmatrix}$$ + +$$\mathbf{M}=\bordermatrix{&C&I&C'\cr + C&1&0&0\cr I&b&1-b&0\cr C'&0&a&1-a}$$ + +%% page 186 + +$$\sum_{n=0}^\infty a_nz^n\quad\hbox{converges if}\quad +|z|<\Bigl(\limsup_{n\to\infty}\root n\of{|a_n|}\,\Bigr)^{-1}.$$ + +$$\frac{f(x+\Delta x)-f(x)}{\Delta x}\to f'(x) +\qquad \hbox{as $\Delta x\to0$.}$$ + +$$\|u_i\|=1,\qquad u_i\cdot u_j=0\quad\hbox{if $i\ne j$.}$$ + +%% page 191 + +$$\hbox{The confluent image of}\quad +\begin{Bmatrix}\hbox{an arc}\hfill\\\hbox{a circle}\hfill\\ +\hbox{a fan}\hfill\\\end{Bmatrix} +\quad\hbox{is}\quad +\begin{Bmatrix}\hbox{an arc}\hfill\\ +\hbox{an arc or a circle}\hfill\\ +\hbox{a fan or an arc}\hfill\end{Bmatrix}.$$ + +%% page 191 + +\begin{align*} +T(n)\le T(2^{\lceil\lg n\rceil}) +&\le c(3^{\lceil\lg n\rceil}-2^{\lceil\lg n\rceil})\\ +&<3c\cdot3^{\lg n}\\ +&=3c\,n^{\lg3}. +\end{align*} + +%\begin{align*} +%\left\{% +%\begin{gathered}\alpha&=f(z)\\ \beta&=f(z^2)\\ \gamma&=f(z^3) +%\end{gathered} +%\right\} +%\qquad +%\left\{% +%\begin{gathered} +%x&=\alpha^2-\beta\\ y&=2\gamma +%\end{gathered} +%\right\}% +%\end{align*} + +%$$\left\{ +%\begin{align} +%\alpha&=f(z)\cr \beta&=f(z^2)\cr \gamma&=f(z^3)\\ +%%\end{align} +%\right\} +%\qquad +%\left\{ +%%\begin{align} +%x&=\alpha^2-\beta\cr y&=2\gamma\\ +%\end{align} +%\right\}.$$ +%%% page 192 + +\begin{align*} +\begin{aligned} +(x+y)(x-y)&=x^2-xy+yx-y^2\\ +&=x^2-y^2\\ +(x+y)^2&=x^2+2xy+y^2. +\end{aligned} +\end{align*} + +%% page 192 + +\begin{align*} +\begin{aligned} +\biggl(\int_{-\infty}^\infty e^{-x^2}\,\mathup{d}x\biggr)^2 +&=\int_{-\infty}^\infty\int_{-\infty}^\infty e^{-(x^2+y^2)}\,\mathup{d}x\,\mathup{d}y\\ +&=\int_0^{2\piup}\int_0^\infty e^{-r^2}\,\mathup{d}r\,\mathup{d}\theta\\ +&=\int_0^{2\piup}\biggl(e^{-\frac{r^2}{2}} +\biggl|_{r=0}^{r=\infty}\,\biggr)\,\mathup{d}\theta\\ +&=\piup. +\end{aligned} +\end{align*} + + +%% page 197 + +$$\prod_{k\ge0}\frac{1}{(1-q^kz)}= +\sum_{n\ge0}z^n\bigg/\!\!\prod_{1\le k\le n}(1-q^k).$$ + +$$\sum_{\substack{\scriptstyle 0< i\le m\\\scriptstyle0x)=\exp(-x/\mu)$, + +\noindent $\bigl(x\in A(n)\bigm|x\in B(n)\bigr)$, \quad +$\bigcup_n X_n\bigm\|\bigcap_n Y_n$ + +% page 178 + +\noindent In-text matrices $\binom{1\,1}{0\,1}$ and $\bigl(\genfrac{}{}{0pt}{}{a}{1}\genfrac{}{}{0pt}{}{b}{m}\genfrac{}{}{0pt}{}{c}{n}\bigr)$. + +\framebreak +% page 142 + +$$a_0+\frac1{\displaystyle a_1 + + {\strut \frac1{\displaystyle a_2 + + {\strut \frac1{\displaystyle a_3 + + {\strut \frac1{\displaystyle a_4}}}}}}}$$ +% page 143 +$$\binom{p}{2}x^2y^{p-2} - \frac1{1 - x}\frac{1}{1 - x^2} += +\frac{a+1}{b}\bigg/\frac{c+1}{d}.$$ +%% page 145 +$$\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}}}$$ +$$\sqrt[n]{1+\sqrt[k]{1+\sqrt[5]{1+\sqrt[4]{1+\sqrt[3]{1+x}}}}}$$ + +\framebreak +%% page 147 + +$$\left(\frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2}\right) +\bigl|\varphi(x+iy)\bigr|^2=0$$ + +%% page 149 + +% $$\pi(n)=\sum_{m=2}^n\left\lfloor\biggl(\sum_{k=1}^{m-1}\bigl +% \lfloor(m/k)\big/\lceil m/k\rceil\bigr\rfloor\biggr)^{-1}\right\rfloor.$$ + +$$\pi(n)=\sum_{m=2}^n\left\lfloor\Biggl(\sum_{k=1}^{m-1}\bigl +\lfloor(m/k)\big/\lceil m/k\rceil\bigr\rfloor\Biggr)^{-1}\right\rfloor.$$ + +% page 168 + +$$\int_0^\infty \frac{t - i b}{t^2 + b^2}e^{iat}\,\mathup{d}t=e^{ab}E_1(ab), \quad +a,b > 0.$$ + +% page 176 + +$$\mathbf{A} \coloneq \begin{pmatrix}x-\lambda&1&0\\ +0&x-\lambda&1\\ +0&0&x-\lambda\end{pmatrix}.$$ + +\framebreak + +$$\left\lgroup\begin{matrix}a&b&c\\ d&e&f\\\end{matrix}\right\rgroup +\left\lgroup\begin{matrix}u&x\cr v&y\cr w&z\end{matrix}\right\rgroup$$ +% page 177 +$$\mathbf{A} = \begin{pmatrix}a_{11}&a_{12}&\ldots&a_{1n}\\ +a_{21}&a_{22}&\ldots&a_{2n}\\ +\vdots&\vdots&\ddots&\vdots\\ +a_{m1}&a_{m2}&\ldots&a_{mn}\end{pmatrix}$$ +$$\mathbf{M}=\bordermatrix{&C&I&C'\cr + C&1&0&0\cr I&b&1-b&0\cr C'&0&a&1-a}$$ + +\framebreak +%% page 186 + +$$\sum_{n=0}^\infty a_nz^n\quad\hbox{converges if}\quad +|z|<\Bigl(\limsup_{n\to\infty}\root n\of{|a_n|}\,\Bigr)^{-1}.$$ + +$$\frac{f(x+\Delta x)-f(x)}{\Delta x}\to f'(x) +\qquad \hbox{as $\Delta x\to0$.}$$ + +$$\|u_i\|=1,\qquad u_i\cdot u_j=0\quad\hbox{if $i\ne j$.}$$ + +%% page 191 + +$$\hbox{The confluent image of}\quad +\begin{Bmatrix}\hbox{an arc}\hfill\\\hbox{a circle}\hfill\\ +\hbox{a fan}\hfill\\\end{Bmatrix} +\quad\hbox{is}\quad +\begin{Bmatrix}\hbox{an arc}\hfill\\ +\hbox{an arc or a circle}\hfill\\ +\hbox{a fan or an arc}\hfill\end{Bmatrix}.$$ + +\framebreak +%% page 191 + +\begin{align*} +T(n)\le T(2^{\lceil\lg n\rceil}) +&\le c(3^{\lceil\lg n\rceil}-2^{\lceil\lg n\rceil})\\ +&<3c\cdot3^{\lg n}\\ +&=3c\,n^{\lg3}. +\end{align*} +%\begin{align*} +%\left\{% +%\begin{gathered}\alpha&=f(z)\\ \beta&=f(z^2)\\ \gamma&=f(z^3) +%\end{gathered} +%\right\} +%\qquad +%\left\{% +%\begin{gathered} +%x&=\alpha^2-\beta\\ y&=2\gamma +%\end{gathered} +%\right\}% +%\end{align*} +%$$\left\{ +%\begin{align} +%\alpha&=f(z)\cr \beta&=f(z^2)\cr \gamma&=f(z^3)\\ +%%\end{align} +%\right\} +%\qquad +%\left\{ +%%\begin{align} +%x&=\alpha^2-\beta\cr y&=2\gamma\\ +%\end{align} +%\right\}.$$ +%%% page 192 +\begin{align*} +\begin{aligned} +(x+y)(x-y)&=x^2-xy+yx-y^2\\ +&=x^2-y^2\\ +(x+y)^2&=x^2+2xy+y^2. +\end{aligned} +\end{align*} + +\framebreak +%% page 192 + +\begin{align*} +\begin{aligned} +\biggl(\int_{-\infty}^\infty e^{-x^2}\,\mathup{d}x\biggr)^2 +&=\int_{-\infty}^\infty\int_{-\infty}^\infty e^{-(x^2+y^2)}\,\mathup{d}x\,\mathup{d}y\\ +&=\int_0^{2\piup}\int_0^\infty e^{-r^2}\,\mathup{d}r\,\mathup{d}\theta\\ +&=\int_0^{2\piup}\biggl(e^{-\frac{r^2}{2}} +\biggl|_{r=0}^{r=\infty}\,\biggr)\,\mathup{d}\theta\\ +&=\piup. +\end{aligned} +\end{align*} + +\framebreak +%% page 197 + +$$\prod_{k\ge0}\frac{1}{(1-q^kz)}= +\sum_{n\ge0}z^n\bigg/\!\!\prod_{1\le k\le n}(1-q^k).$$ + +$$\sum_{\substack{\scriptstyle 0< i\le m\\\scriptstyle0